Research activity information

• Jan. 2022 Kobe University, Young Researcher Award

  Toshikazu Kuniya


• Jun. 2018 日本応用数理学会, Best Presentation Award for Young Researchers at the 2017 JSIAM Annual Meeting

  KUNIYA Toshikazu


• Sep. 2016 日本数理生物学会, JSMB Early Career Award

  國谷 紀良

  Japan society


• Mar. 2013 Graduate School of Mathematical Sciences, The University of Tokyo, Dean's Award

  KUNIYA TOSHIKAZU

  Others

• Dynamical analysis of an age-space structured malaria epidemic model

  Jinliang Wang, Meiyu Cao, Toshikazu Kuniya

  Abstract In this paper, we will revisit the model studied in Lou and Zhao (J Math Biol 62:543–568, 2011), where the model takes the form of a nonlocal and time-delayed reaction–diffusion model arising from the fixed incubation period. We consider the infection age to be a continuous variable but without the limitation of the fixed incubation period, leading to an age-space structured malaria model in a bounded domain. By performing the elementary analysis, we investigate the well-posedness of the model by proving the global existence of the solution, define the explicit formula of basic reproduction number when all parameters remain constant. By analyzing the characteristic equations and designing suitable Lyapunov functions, we also establish the threshold dynamics of the constant disease-free and positive equilibria. Our theoretical results are also validated by numerical simulations for 1-dimensional and 2-dimensional domains.

  Corresponding, Springer Science and Business Media LLC, Oct. 2023, Zeitschrift für angewandte Mathematik und Physik, 74(6) (6), English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Observer design for an infectious disease PDE model considering reinfection

  Hideki Sano, Toshikazu Kuniya

  Elsevier BV, Sep. 2023, Automatica, 155, 111091 - 111091, English

  [Refereed]

  Scientific journal


• 免疫保持期間と拡散を含むKermack-McKendrickモデルにおける進行波解の存在

  Mostafa Adimy, Abdennasser Chekroun, 國谷紀良

  Aug. 2023, 数理解析研究所講究録, 2262, 19 - 26, Japanese

  [Invited]

  Research institution


• Global stability of a SEIR discrete delay differential‐difference system with protection phase

  Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya, Hanene Meghelli

  We consider an epidemiological model with the four classical compartments of susceptible, exposed, infected, and recovered population. We add a new compartment that is supposed to describe, for a limited time, individuals that are protected from the epidemic through vaccination or medication, for instance. We model the protection phase by an age‐structured partial differential equation. The age is the time since an individual entered the protection phase. The model is then reduced by integration on the characteristics to a differential‐difference system with delay. The discrete delay represents the limited duration of the protection phase. After establishing the basic properties of the model, we show that the disease‐free equilibrium (DFE) is globally asymptotically stable when the basic reproduction number is less than one and is unstable when this number is greater than one. Furthermore, we show that even if there is no mortality during the protection phase and the basic reproduction number is greater than one, the endemic equilibrium is globally asymptotically stable. The proofs of the global asymptotic stability of both equilibria are based on carefully constructed Lyapunov functions. To complete this study on the global dynamics, we discuss some results on weak and strong uniform persistence of the disease. Finally, numerical simulations are performed to illustrate and complete our main results.

  Wiley, Jul. 2023, Mathematical Methods in the Applied Sciences, English

  [Refereed]

  Scientific journal


• Hopf bifurcation in a chronological age-structured SIR epidemic model with age-dependent infectivity

  Toshikazu Kuniya, Hisashi Inaba

  Jun. 2023, Mathematical Biosciences and Engineering, 20, 13036 - 13060, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Mathematical analysis of a vaccination epidemic model with nonlocal diffusion

  Soufiane Bentout, Salih Djilali, Toshikazu Kuniya, Jinliang Wang

  Corresponding, Wiley, Jun. 2023, Mathematical Methods in the Applied Sciences, 46(9) (9), 10970 - 10994, English

  [Refereed]

  Scientific journal


• A general fractional-order viral infection model with cell-to-cell transmission and adaptive immunity

  Adnane Boukhouima, El Mehdi Lotfi, Marouane Mahrouf, Noura Yousfi, Toshikazu Kuniya

  Last, Natural Sciences Publishing, Jan. 2023, Progress in Fractional Differentiation and Applications, 9(1) (1), 41 - 63, English

  [Refereed]

  Scientific journal


• Global threshold analysis on a diffusive host–pathogen model with hyperinfectivity and nonlinear incidence functions

  Jinliang Wang, Wenjing Wu, Toshikazu Kuniya

  Corresponding, Elsevier BV, Jan. 2023, Mathematics and Computers in Simulation, 203, 767 - 802, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Recurrent epidemic waves in a delayed epidemic model with quarantine

  Toshikazu Kuniya

  Informa UK Limited, Dec. 2022, Journal of Biological Dynamics, 16(1) (1), 619 - 639, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Estimating COVID‐19 herd immunity in Japan at the beginning of the seventh wave: Transitioning from a pandemic to an endemic

  Toshikazu Kuniya, Yasuharu Tokuda, Haruyo Nakamura, Takuhiro Moromizato, Kenji Shibuya

  Lead, Wiley, Aug. 2022, Journal of General and Family Medicine, English

  Scientific journal


• Analysis of a degenerated reaction–diffusion cholera model with spatial heterogeneity and stabilized total humans

  Jinliang Wang, Wenjing Wu, Toshikazu Kuniya

  Corresponding, Elsevier BV, Aug. 2022, Mathematics and Computers in Simulation, 198, 151 - 171, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Global dynamics for a class of reaction–diffusion equations with distributed delay and non-monotone bistable nonlinearity

  Toshikazu Kuniya, Tarik Mohammed Touaoula

  Lead, Informa UK Limited, Jul. 2022, Applicable Analysis, 1 - 25, English

  [Refereed]

  Scientific journal


• Global asymptotic stability for a distributed delay differential–difference system of a Kermack–McKendrick SIR model

  Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya

  Informa UK Limited, May 2022, Applicable Analysis, 1 - 13, English

  [Refereed]

  Scientific journal


• Hopf Bifurcation in a Delayed Epidemic Model with Vaccination

  Toshikazu Kuniya

  IEEE, May 2022, 2022 13th Asian Control Conference (ASCC), 1246 - 1249, English

  [Refereed]

  International conference proceedings

  Link to Kobe Univ. Repository (Kernel)


• Analysis of a diffusive HBV model with logistic proliferation and non-cytopathic antiviral mechanisms

  Jinliang Wang, Xiaoqing Wu, Toshikazu Kuniya

  Elsevier BV, Mar. 2022, Communications in Nonlinear Science and Numerical Simulation, 106, 106110 - 106110, English

  [Refereed]

  Scientific journal


• Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase

  Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya

  Elsevier BV, Jan. 2022, Journal of Mathematical Analysis and Applications, 505(1) (1), 125464 - 125464, English, Co-authored internationally

  [Refereed]

  Scientific journal


• A reaction–diffusion Susceptible–Vaccinated–Infected–Recovered model in a spatially heterogeneous environment with Dirichlet boundary condition

  Jinliang Wang, Ran Zhang, Toshikazu Kuniya

  Corresponding, Elsevier BV, Dec. 2021, Mathematics and Computers in Simulation, 190, 848 - 865, English, Co-authored internationally

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Potential impact of alternative vaccination strategies on COVID‐19 cases, hospitalization, and mortality in Japan during 2021–2022

  Yasuharu Tokuda, Toshikazu Kuniya, Kenji Shibuya

  Wiley, Nov. 2021, Journal of General and Family Medicine, 22(6) (6), 311 - 313, English

  Scientific journal


• Structure of epidemic models: toward further applications in economics

  Toshikazu Kuniya

  Abstract In this paper, we review the structure of various epidemic models in mathematical epidemiology for the future applications in economics. The heterogeneity of population and the generalization of nonlinear terms play important roles in making more elaborate and realistic models. The basic, effective, control and type reproduction numbers have been used to estimate the intensity of epidemic, to evaluate the effectiveness of interventions and to design appropriate interventions. The advanced epidemic models includes the age structure, seasonality, spatial diffusion, mutation and reinfection, and the theory of reproduction numbers has been generalized to them. In particular, the existence of sustained periodic solutions has attracted much interest because they can explain the recurrent waves of epidemic. Although the theory of epidemic models has been developed in decades and the development has been accelerated through COVID-19, it is still difficult to completely answer the uncertainty problem of epidemic models. We would have to mind that there is no single model that can solve all questions and build a scientific attitude to comprehensively understand the results obtained by various researchers from different backgrounds.

  Springer Science and Business Media LLC, Oct. 2021, The Japanese Economic Review, 72(4) (4), 581 - 607, English

  [Refereed][Invited]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• An age-structured epidemic model with boosting and waning of immune status

  Kento Okuwa, Hisashi Inaba, Toshikazu Kuniya

  American Institute of Mathematical Sciences (AIMS), Jun. 2021, Mathematical Biosciences and Engineering, 18(5) (5), 5707 - 5736, English

  [Refereed]

  Scientific journal


• Prediction of COVID-19 cases during Tokyo's Olympic and Paralympic Games

  Yasuharu Tokuda, Toshikazu Kuniya

  May 2021, Journal of General and Family Medicine, English

  [Refereed]

  Scientific journal


• Modeling population-wide testing of SARS-CoV-2 for containing COVID-19 pandemic in Okinawa, Japan

  Kazuki Shimizu, Toshikazu Kuniya, Yasuharu Tokuda

  May 2021, Journal of General and Family Medicine, English

  [Refereed][Invited]

  Scientific journal


• Mathematical analysis of an age-structured heroin-cocaine epidemic model

  Abdennasser Chekroun, Mohammed Nor Frioui, Toshikazu Kuniya, Tarik Mohammed Touaoula

  Corresponding, Nov. 2020, Discrete and Continuous Dynamical Systems Series B, English, Co-authored internationally

  [Refereed]

  Scientific journal


• Collocation of next-generation operators for computing the basic reproduction number of structured populations

  Dimitri Breda, Toshikazu Kuniya, Jordi Ripoll, Rossana Vermiglio

  Oct. 2020, Journal of Scientific Computing, 85, 40, English, Co-authored internationally

  [Refereed]

  Scientific journal


• Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity

  Toshikazu Kuniya, Tarik Mohammed Touaoula

  Oct. 2020, Mathematical Biosciences and Engineering, 17(6) (6), 7332 - 7352, English, Co-authored internationally

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition

  Abdennasser Chekroun, Toshikazu Kuniya

  Corresponding, Oct. 2020, Journal of Differential Equations, 269(8) (8), 117 - 148, English, Co-authored internationally

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Evaluation of the effect of the state of emergency for the first wave of COVID-19 in Japan

  Toshikazu Kuniya

  Aug. 2020, Infectious Disease Modelling, 5, 580 - 587, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Possible effects of mixed prevention strategy for COVID-19 epidemic: massive testing, quarantine and social distancing

  Toshikazu Kuniya, Hisashi Inaba

  Jul. 2020, AIMS Public Health, 7(3) (3), 490 - 503, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Demand and supply of invasive and noninvasive ventilators at the peak of the COVID‐19 outbreak in Okinawa

  Toshikazu Kuniya, Yasunori Nakama, Yasuharu Tokuda

  Lead, May 2020, Journal of General and Family Medicine, English

  [Invited]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Parameter estimation and prediction for coronavirus disease outbreak 2019 (COVID-19) in Algeria

  Soufiane Bentout, Abdennasser Chekroun, Toshikazu Kuniya

  May 2020, AIMS Public Health, 7(2) (2), 306 - 318, English, Co-authored internationally

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Prediction of the epidemic peak of coronavirus disease in Japan, 2020

  Toshikazu Kuniya

  Mar. 2020, Journal of Clinical Medicine, 2020(9) (9), 789, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment

  Jinliang Wang, Fanglin Xie, Toshikazu Kuniya

  Corresponding, Jan. 2020, Communications in Nonlinear Science and Numerical Simulation, 80, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• An infection age-space-structured SIR epidemic model with Dirichlet boundary condition

  Abdennasser Chekroun, Toshikazu Kuniya

  Dec. 2019, Mathematical Modelling of Natural Phenomena, 14(5) (5), English

  [Refereed]

  Scientific journal


• Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions

  Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya

  Nov. 2019, Journal of Mathematical Analysis and Applications, 479(1) (1), 1030 - 1068, English

  [Refereed]

  Scientific journal


• Mathematical analysis for an age-structured SIRS epidemic model

  Kento Okuwa, Hisashi Inaba, Toshikazu Kuniya

  Jul. 2019, Mathematical BIosciences and Engineering, 16(5) (5), 6071 - 6102, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Hopf bifurcation in an age-structured SIR epidemic model

  KUNIYA Toshikazu

  Jun. 2019, Applied Mathematics Letters, 92, 22 - 28, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Analysis of an age-structured multi-group heroin epidemic model

  WANG Jinliang, WANG Jing, KUNIYA Toshikazu

  Apr. 2019, Applied Mathematics and Computation, 347, 78 - 100, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Global stability of an age-structured epidemic model with general Lyapunov functional

  CHEKROUN Abdennasser, FRIOUI Mohammed Nor, KUNIYA Toshikazu, TOUAOULA Tarik Mohammed

  Feb. 2019, Mathematical Biosciences and Engineering, 16(3) (3), 1525 - 1553, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Global behavior of a multi-group SIR epidemic model with age structure and an application to the chlamydia epidemic in Japan

  KUNIYA Toshikazu

  Feb. 2019, SIAM Journal on Applied Mathematics, 79(1) (1), 321 - 340, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection

  KITAGAWA Kosaku, KUNIYA Toshikazu, NAKAOKA Shinji, ASAI Yusuke, WATASHI Koichi, IWAMI Shingo

  2019, Bulletin of Mathematical Biology, English

  [Refereed]

  Scientific journal


• Competitive exclusion in a multi-strain SIS epidemic model on complex networks

  YANG Junyuan, KUNIYA Toshikazu, LUO Xiaofeng

  Jan. 2019, Electronic Journal of Differential Equations, 2019(6) (6), 1 - 30, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Evaluation of the tuberculosis transmission of drug-resistant strains in mainland China

  YANG Junyuan, KUNIYA Toshikazu, XU Fei, CHEN Yuming

  Dec. 2018, Journal of Biological Systems, 26(4) (4), 533 - 552, English

  [Refereed]

  Scientific journal


• Global dynamics of an SIR epidemic model with nonlocal diffusion

  KUNIYA Toshikazu, WANG Jinliang

  Oct. 2018, Nonlinear Analysis: Real World Applications, 43, 262 - 282, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs

  KUNIYA Toshikazu

  Aug. 2018, Mathematics, 6(9) (9), English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Global behavior of SIS epidemic models with age structure and spatial heterogeneity

  KUNIYA Toshikazu, INABA Hisashi, YANG Junyuan

  Jul. 2018, Japan Journal of Industrial and Applied Mathematics, 35(2) (2), 669 - 706, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Stability and existence results for a time-delayed nonlocal model of hematopoietic stem cells dynamics

  CHEKROUN Abdennasser, KUNIYA Toshikazu

  Jul. 2018, Journal of Mathematical Analysis and Applications, 463, 1147 - 1168, English

  [Refereed]

  Scientific journal


• Global dynamics of an epidemiological model with age-of-infection dependent treatment rate

  RÖST Gergely, KUNIYA Toshikazu, MOGHADAS Seyed, WU Jianhong

  Jun. 2018, Ricerche di Mathematica, 67(1) (1), 125 - 140, English

  [Refereed]

  Scientific journal


• An infection age-space structured SIR epidemic model with Neumann boundary condition

  CHEKROUN Abdennasser, KUNIYA Toshikazu

  2018, Applicable Analysis, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Delayed nonlocal reaction-diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions

  ADIMY Mostafa, CHEKROUN Abdennasser, KUNIYA Toshikazu

  Dec. 2017, Mathematical Modelling of Natural Phenomena, 12, 1 - 22, English

  [Refereed]

  Scientific journal


• Numerical approximation of the basic reproduction number for a class of age-structured epidemic models

  KUNIYA Toshikazu

  Nov. 2017, Applied Mathematics Letters, 73, 106 - 112, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Impact of non-separable incidence rates on global dynamics of virus model with cell-mediated, humoral immune responses

  ENATSU Yoichi, WANG Jinliang, KUNIYA Toshikazu

  Oct. 2017, Journal of Nonlinear Sciences and Applications, 10, 5201 - 5218, English

  [Refereed]

  Scientific journal


• 拡散項と空間依存係数を持つ感染症モデルの大域的漸近安定性

  KUNIYA TOSHIKAZU

  Sep. 2017, 数理解析研究所講究録, 2043, 74 - 80, Japanese

  Research institution


• Global stability for multi-group SIR and SEIR epidemic models with age-dependent susceptibility

  WANG Jinliang, LIU Xianning, KUNIYA Toshikazu, PANG Jingmei

  Sep. 2017, Discrete and Continuous Dynamical Systems - Series B, 22(7) (7), 2795 - 2812, English

  [Refereed]

  Scientific journal


• Modeling infectious diseases with relapse: a case study of HSV-2

  WANG Jinliang, YU Xiaoqing, TESSMER Heidi L, KUNIYA Toshikazu, OMORI Ryosuke

  Jul. 2017, Theoretical Biology and Medical Modelling, 14, English

  [Refereed]

  Scientific journal


• Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence

  YANG Junyuan, CHEN Yuming, KUNIYA Toshikazu

  Apr. 2017, IMA Journal of Applied Mathematics, 82(3) (3), 629 - 655, English

  [Refereed]

  Scientific journal


• Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse

  WANG Jinliang, GUO Min, KUNIYA Toshikazu

  2017, Applicable Analysis, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Dynamics of a PDE viral infection model incorporating cell-to-cell transmission

  WANG Jinliang, YANG Jie, KUNIYA Toshikazu

  Dec. 2016, Journal of Mathematical Analysis and Applications, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• A multi-group SIR epidemic model with age structure

  KUNIYA Toshikazu, WANG Jinliang, INABA Hisashi

  Dec. 2016, Discrete and Continuous Dynamical Systems Series B, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Global analysis of a multi-group SIR epidemic model with nonlinear incidence rates and distributed moving delays between patches

  MUROYA Yoshiaki, KUNIYA Toshikazu, ENATSU Yoichi

  Aug. 2016, Electronic Journal of Qualitative Theory of Differential Equations, English

  [Refereed]

  International conference proceedings


• Reconsideration of r K selection theory using stochastic control theory and nonlinear structured population models

  OIZUMI Ryo, ENATSU Yoichi, KUNIYA Toshikazu

  Jun. 2016, PLoS ONE, English

  [Refereed]

  Scientific journal


• Lyapunov functions and global stability for a spatially diffusive SIR epidemic model

  KUNIYA Toshikazu, WANG Jinliang

  Jun. 2016, Applicable Analysis, English

  [Refereed]

  Scientific journal


• Application of the backstepping method to the prediction of increase or decrease of infected population

  KUNIYA Toshikazu, SANO Hideki

  May 2016, Theoretical Biology and Medical Modelling, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• 空間異質的な年齢構造化SIS感染症モデルの漸近挙動

  KUNIYA Toshikazu

  Apr. 2016, 数理解析研究所講究録, Japanese

  Research institution


• The dynamics of an SVIR epidemiological model with infection age

  WANG Jinliang, ZHANG Ran, KUNIYA Toshikazu

  Apr. 2016, IMA Journal of Applied Mathematics, 81(2) (2), 321 - 343, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• A note on dynamics of an age-of-infection cholera model

  WANG Jinliang, ZHANG Ran, KUNIYA Toshikazu

  Feb. 2016, Mathematical Biosciences and Engineering, 13(1) (1), 227 - 247, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes

  Jinliang Wang, Ran Zhang, KUNIYA TOSHIKAZU

  Dec. 2015, Journal of Biological Dynamics, 9(1) (1), 73 - 101, English

  [Refereed]

  Scientific journal


• Global dynamics for a class of age-infection HIV models with nonlinear infection rate

  WANG Jinliang, ZHANG Ran, KUNIYA Toshikazu

  Dec. 2015, Journal of Mathematical Analysis and Applications, 432(1) (1), 289 - 313, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• Global stability of a delayed multi-group SIRS epidemic model with nonlinear incedence rates and relapse of infection

  MUROYA Yoshiaki, KUNIYA Toshikazu, ENATSU Yoichi

  Nov. 2015, Discrete and Continuous Dynamical Systems Series B, 20(9) (9), 3057 - 3091, English

  [Refereed]

  Scientific journal


• Global stability of a multi-grou SIS epidemic model with varying total population size

  KUNIYA Toshikazu, MUROYA Yoshiaki

  Aug. 2015, Applied Mathematics and Computations, 265, 785 - 798, English

  [Refereed]

  Scientific journal

  Link to Kobe Univ. Repository (Kernel)


• 多次元ODEとしての感染症の数理モデルに対する漸近安定性解析

  KUNIYA TOSHIKAZU

  Jul. 2015, 数理解析研究所講究録, 1959, 108 - 127, Japanese

  Research institution


• Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate

  MUROYA Yoshiaki, KUNIYA Toshikazu

  Jul. 2015, International Journal of Biomathematics, English

  [Refereed]

  Scientific journal


• Effect of cell-mediated, humoral immune responses on global dynamics of a delayed virus infection model

  ENATSU Yoichi, WANG Jinliang, KUNIYA Toshikazu

  Jul. 2015, 数理解析研究所講究録, 1959, 83 - 107, Japanese

  Research institution


• Existence result for an age-structured SIS epidemic model with spatial diffusion

  KUNIYA TOSHIKAZU, Ryo Oizumi

  Jun. 2015, Nonlinear Analysis: Real World Applications, 23(2015) (2015), 196 - 208, English

  [Refereed]

  Scientific journal


• Stability analysis of a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure

  Yoshiaki Muroya, KUNIYA TOSHIKAZU, Jinliang Wang

  May 2015, Journal of Mathematical Analysis and Applications, 425(1) (1), 415 - 439, English

  [Refereed]

  Scientific journal


• 空間構造と年齢構造を含む感染症モデルにおける非自明平衡解の存在

  KUNIYA TOSHIKAZU

  Apr. 2015, 数理解析研究所講究録, 1937, 19 - 24, Japanese

  Research institution


• Mathematical analysis for an age-structured HIV infection model with saturation infection rate

  Jinliang Wang, Ran Zhang, KUNIYA TOSHIKAZU

  Feb. 2015, Electronic Journal of Differential Equations, 2015(33) (33), 1 - 19, English

  [Refereed]

  Scientific journal


• Global stability of a time-delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure

  WANG Jinliang, MUROYA Yoshiaki, KUNIYA Toshikazu

  2015, Journal of Nonlinear Science and Applications, 8, 578 - 599, English

  [Refereed]

  Scientific journal


• Global stability of nonresident computer virus models

  Yoshiaki Muroya, KUNIYA TOSHIKAZU

  Jan. 2015, Mathematical Methods in the Applied Sciences, 38(2) (2), 281 - 295, English

  [Refereed]

  Scientific journal


• Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures

  KUNIYA TOSHIKAZU, Yoshiaki Muroya, Yoichi Enatsu

  Dec. 2014, Mathematical Biosciences and Engineering, 11(6) (6), 1375 - 1393, English

  [Refereed]

  Scientific journal


• Further stability analysis for a multi-group SIRS epidemic model with varying total population size

  Yoshiaki Muroya, KUNIYA TOSHIKAZU

  Elsevier, Dec. 2014, Applied Mathematics Letters, 38, 73 - 78, English

  [Refereed]

  Scientific journal


• 多状態年齢構造化SIR感染症モデルの大域的安定性

  KUNIYA TOSHIKAZU

  京都大学, Sep. 2014, 数理解析研究所講究録, 1917, 122 - 128, Japanese

  Research institution


• On global stability of a nonresident computer virus model

  Yoshiaki Muroya, Huaxing Li, KUNIYA TOSHIKAZU

  Elsevier, Sep. 2014, Acta Mathematica Scientia, 34(5) (5), 1427 - 1445, English

  [Refereed]

  Scientific journal


• R0 and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission

  KUNIYA TOSHIKAZU, Mimmo Iannelli

  American Institute of Mathematical Sciences, Aug. 2014, Mathematical Biosciences and Engineering, 11(4) (4), 929 - 945, English

  [Refereed]

  Scientific journal


• Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays

  Jinliang Wang, Jingmai Pang, KUNIYA TOSHIKAZU, Yoichi Enatsu

  Elsevier, Aug. 2014, Applied Mathematics and Computation, 241, 298 - 316, English

  [Refereed]

  Scientific journal


• A note on global stability for malaria infections model with latencies

  Jinliang Wang, Jingmai Pang, KUNIYA TOSHIKAZU

  American Institute of Mathematical Sciences, Aug. 2014, Mathematical Biosciences and Engineering, 11(4) (4), 995 - 1001, English

  [Refereed]

  Scientific journal


• Global stability of a multi-group SIS epidemic model for population migration

  KUNIYA TOSHIKAZU, Yoshiaki Muroya

  American Institute of Mathematical Sciences, Jun. 2014, Discrete and Continuous Dynamical Systems - Series B, 19(4) (4), 1105 - 1118, English

  [Refereed]

  Scientific journal


• Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates

  Yoshiaki Muroya, Huaxing Li, KUNIYA TOSHIKAZU

  Elsevier, Feb. 2014, Journal of Mathematical Analysis and Applications, 410(2) (2), 719 - 732, English

  [Refereed]

  Scientific journal


• Stability of epidemic models with waning immunity

  Yukihiko Nakata, Yoichi Enatsu, Hisashi Inaba, KUNIYA TOSHIKAZU, Yoshiaki Muroya, Yasuhiro Takeuchi

  2014, SUT Journal of Mathematics, 50(2) (2), 205 - 246, English

  [Refereed]

  Scientific journal


• Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients

  KUNIYA TOSHIKAZU

  Elsevier, Jan. 2014, Applied Mathematics Letters, 27, 15 - 20, English

  [Refereed]

  Scientific journal


• グラフ理論的なリアプノフ汎関数の手法に対する max 関数のアイデア

  KUNIYA TOSHIKAZU

  京都大学, Oct. 2013, 数理解析研究所講究録, 1853, 84 - 91, Japanese

  Research institution


• Global stability for a multi-group SIRS epidemic model with varying population sizes

  Yoshiaki Muroya, Yoichi Enatsu, KUNIYA TOSHIKAZU

  Elsevier, Jun. 2013, Nonlinear Analysis: Real World Applications, 14, 1693 - 1704, English

  [Refereed]

  Scientific journal


• Endemic threshold results for an age-structured SIS epidemic model with periodic parameters

  KUNIYA TOSHIKAZU, Hisashi Inaba

  Elsevier, Jun. 2013, Journal of Mathematical Analysis and Applications, 402, 477 - 492, English

  [Refereed]

  Scientific journal


• Global stability of a multi-group SVIR epidemic model

  KUNIYA TOSHIKAZU

  Elsevier, Apr. 2013, Nonlinear Analysis: Real World Applications, 14, 1135 - 1143, English

  [Refereed]

  Scientific journal


• Global stability of extended multi-group SIR epidemic models with patches through migration and cross patch infection

  Yoshiaki Muroya, Yoichi Enatsu, KUNIYA TOSHIKAZU

  Elsevier, Mar. 2013, Acta Mathematica Scientia, 33, 341 - 361, English

  [Refereed]

  Scientific journal


• 時間周期的な年齢構造化 SIS 感染症モデルの閾値条件に関する諸結果

  KUNIYA TOSHIKAZU, 稲葉 寿

  京都大学, Jun. 2012, 数理解析研究所講究録, 1796, 53 - 61, Japanese

  Research institution


• Permanence and extinction for a nonautonomous SEIRS epidemic model

  KUNIYA TOSHIKAZU, Yukihiko Nakata

  Elsevier, May 2012, Applied Mathematics and Computation, 218(18) (18), 9321 - 9331, English

  [Refereed]

  Scientific journal


• Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model

  KUNIYA TOSHIKAZU

  Elsevier, Oct. 2011, Nonlinear Analysis: Real World Applications, 12(5) (5), 2640 - 2655, English

  [Refereed]

  Scientific journal


• 年齢構造化感染症モデルに対しての離散化手法を用いた大域的安定性解析

  KUNIYA TOSHIKAZU

  京都大学, Jul. 2011, 数理解析研究所講究録, 1751, 54 - 62, Japanese

  Research institution


• インフルエンザ流行に対する多状態隔離モデルの安定性解析

  KUNIYA TOSHIKAZU

  京都大学, Aug. 2010, 数理解析研究所講究録, 1704, 54 - 62, Japanese

  Research institution


• Global dynamics of a class of SEIRS epidemic models in a periodic environment

  Yukihiko Nakata, KUNIYA TOSHIKAZU

  Mar. 2010, Journal of Mathematical Analysis and Applications, 363, 230 - 237, English

  [Refereed]

  Scientific journal


• 捕獲に対する鹿の逃避行動はカモシカおよび鹿の個体群存続に有益となるか？

  KUNIYA TOSHIKAZU, 八代田 千鶴, 飛永 賢一

  京都大学, Jun. 2009, 数理解析研究所講究録, 1653, 41 - 51, Japanese

  Research institution

• COVID-19 の集団免疫レベルの推計モデルの実装と振り返り

  國谷紀良

  Lead, Mar. 2024, 東京財団政策研究所 Review, Japanese

  Report research institution


• COVID-19の集団免疫レベルの低下と第9波の可能性について

  國谷紀良, 谷口清州, 徳田安春, 中村治代, 諸見里拓宏, 渋谷健司

  Lead, May 2023, 東京財団政策研究所 Review, Japanese

  Report research institution


• 国内におけるCOVID-19の第8波ピーク後の集団免疫レベルの推計

  國谷紀良, 徳田安春, 中村治代, 諸見里拓宏, 渋谷健司

  Lead, Feb. 2023, 東京財団政策研究所 Review, Japanese

  Report research institution


• COVID-19の集団免疫レベルの低下と再流行時期の予測

  國谷紀良, 徳田安春, 中村治代, 諸見里拓宏, 渋谷健司

  Lead, Oct. 2022, 東京財団政策研究所 Review, Japanese

  Report research institution


• 第7波後の主要な都道府県の集団免疫レベルの推計

  國谷紀良, 徳田安春, 中村治代, 諸見里拓宏, 渋谷健司

  Lead, Sep. 2022, 東京財団政策研究所 Review, Japanese

  Report research institution


• 第7波初頭での国内のCOVID-19の集団免疫割合の推計～パンデミック期からエンデミック期への転換に向けて～

  國谷紀良, 徳田安春, 中村治代, 諸見里拓宏, 渋谷健司

  Lead, Jul. 2022, 東京財団政策研究所 Review, Japanese

  Report research institution


• 高齢者施設職員に対する新型コロナウイルスPCRの定期的スクリーニング検査の費用対効果に関する評価分析

  諸見里拓宏, 中村治代, 徳田安春, 國谷紀良, 渋谷健司

  Jul. 2022, 東京財団政策研究所 Review, Japanese

  Report research institution


• 日本財団の高齢者施設職員に対する新型コロナウイルスPCRの定期的スクリーニング検査: その社会的意義および課題に関する調査分析

  中村治代, 諸見里拓宏, 徳田安春, 國谷紀良, 渋谷健司

  Jul. 2022, 東京財団政策研究所 Review, Japanese

  Report research institution


• 数理モデルによるCOVID-19の国内の集団免疫割合の推計

  國谷紀良, 渋谷健司, 徳田安春, 中村治代, 諸見里拓宏

  Lead, Mar. 2022, 東京財団政策研究所 Review, Japanese

  Report research institution


• 年齢構造化感染症モデルの大域安定性と基本再生産数R0

  國谷紀良

  Aug. 2021, システム／制御／情報, 65(8) (8), 311 - 316, Japanese

  [Invited]

  Introduction scientific journal


• 構造化感染症モデルの安定性解析

  國谷紀良

  Feb. 2021, 地域ケアリング, 23(2) (2), 38 - 41, Japanese

  [Invited]

  Introduction commerce magazine


• 国内の流行初期のデータによる予測とその評価

  國谷紀良

  Sep. 2020, 数学セミナー, 59(9) (9), 26 - 29, Japanese

  [Invited]

  Introduction commerce magazine


• 拡散項を含む年齢構造化SIS感染症モデルの解析

  KUNIYA TOSHIKAZU

  2014, 第36回発展方程式若手セミナー報告集, 147 - 152, Japanese

  Meeting report

• Advances in Epidemiological Modeling and Control of Viruses

  Hemen Dutta, Khalid Hattaf

  Contributor, Chapter 5 Hopf bifurcation in an SIR epidemic model with psychological effect and distributed time delay, Elsevier, Jan. 2023


• 人口と感染症の数理はいかに創られてきたか : 個体群ダイナミクスの数学史

  Bacaër, Nicolas, 稲葉, 寿, 國谷, 紀良, 中田, 行彦, 竹内, 康博

  Joint work, 東京大学出版会, Nov. 2022, Japanese, ISBN: 9784130639064


• 感染症の数理モデル 増補版

  稲葉寿

  Contributor, 第10章 COVID-19の数理モデル解析, 培風館, Dec. 2020


• Mathematical Modelling and Analysis of Infectious Diseases

  Khalid Hattaf, Hemen Dutta

  Contributor, Chapter 2 On the relationship between the basic reproduction number and the shape of the spatial domain, Springer, Jul. 2020, 37--59, English

  Scholarly book


• 人口と感染症の数理：年齢構造ダイナミクス入門

  ミンモ イアネリ, 稲葉 寿, KUNIYA TOSHIKAZU

  Joint work, 東京大学出版会, May 2014, Japanese

  Scholarly book

• 年齢構造化SIR感染症モデルのエンデミックな平衡解の安定性について

  國谷紀良

  Okayama Workshop on Partial Differential Equations, Nov. 2023, Japanese

  [Invited]

  Public discourse


• 年齢依存感染性を考慮したSIRモデルにおけるホップ分岐

  國谷紀良

  2023年度 日本数理生物学会年会, Sep. 2023, Japanese

  Oral presentation


• A delayed epidemic model for behavior change

  Toshikazu Kuniya

  30th International Congress on Industrial and Applied Mathematics (ICIAM 2023), Aug. 2023, English

  [Invited]

  Invited oral presentation


• パンデミックで活躍する数理モデル

  國谷紀良

  数学月間懇話会 (第19回), Jul. 2023, Japanese

  [Invited]

  Public discourse


• Hopf bifurcation in a chronological age-structured SIR epidemic model

  Toshikazu Kuniya

  12th Colloquium on the Qualitative Theory of Differential Equations, Jun. 2023, English

  [Invited]

  Invited oral presentation


• 構造化感染症モデルを利用したCOVID-19の疫学的考察

  國谷紀良

  日本人口学会 第75回大会, Jun. 2023, Japanese

  [Invited]

  Invited oral presentation


• 隔離と時間遅れを考慮した感染症モデルにおけるホップ分岐

  國谷紀良

  日本数学会2023年度年会, Mar. 2023, Japanese

  Oral presentation


• 免疫保持期間と拡散を含むKermack-McKendrickモデルにおける進行波解の存在

  M. Adimy, A. Chekroun, 國谷紀良

  RIMS共同研究「時間遅れ系と数理科学：理論と応用の新たな展開に向けて」, Nov. 2022, Japanese

  [Invited]

  Invited oral presentation


• Applications of age-structured epidemic models for intervention evaluation

  Toshikazu Kuniya

  Macroeconomics Workshop, Nov. 2022, English

  [Invited]

  Public discourse


• 免疫保持期間と拡散を考慮したある感染症モデルにおける進行波

  M. Adimy, A. Chekroun, 國谷紀良

  日本応用数理学会2022年度年会, Sep. 2022, Japanese

  Oral presentation


• 感染症数理モデルの平衡点の安定性と分岐解析

  國谷紀良

  お茶の水女子大学・解析セミナー, Jul. 2022, Japanese

  [Invited]

  Public discourse


• Hopf bifurcation in a delayed epidemic model with vaccination

  Toshikazu Kuniya

  The 13th Asian Control Conference, May 2022, English

  Oral presentation


• ある時間遅れをもつ双安定な反応拡散方程式の大域挙動

  國谷紀良, T.M. Taouaoula

  日本数学会2022年度年会, Mar. 2022, Japanese

  Oral presentation


• 行動変容と感染症の再帰的流行の数理モデリング

  國谷紀良

  第24回情報論的学習理論ワークショップ, Nov. 2021, Japanese

  Oral presentation


• COVID-19と行動変容の数理モデル

  國谷紀良

  神楽坂「感染症にまつわる数理」勉強会, Nov. 2021, Japanese

  [Invited]

  Public discourse


• On the Hopf bifurcation in an SIR epidemic model with behavior change

  Toshikazu Kuniya

  JSMB 2021, Sep. 2021, Japanese

  Oral presentation


• 行動変容を考慮したSIR感染症モデルにおける周期解の存在について

  國谷紀良

  愛媛大学解析セミナー, Jul. 2021, Japanese

  [Invited]

  Public discourse


• Prediction and evaluation of COVID-19 in Japan

  Toshikazu Kuniya

  The Seventh International Workshop on Biomathematics Modelling and Its Dynamical Analysis, Jul. 2021, English

  [Invited]

  Oral presentation


• 異なる境界条件下での拡散を含むSIR感染症モデルの解析

  國谷紀良

  日本数学会2021年度年会, Mar. 2021, Japanese

  Oral presentation


• Evaluation of the epidemic prevention effect of non-pharmaceutical interventions for COVID-19 in Japan

  Toshikazu Kuniya

  Modeling infectious disease: COVID-19 and beyond, Mar. 2021, English

  [Invited]

  Public discourse


• 行動変容による感染症の再帰的流行の数理モデリングと安定性解析

  國谷紀良

  2020年度応用数学合同研究集会, Dec. 2020, Japanese

  Oral presentation


• SEIRモデルによるCOVID-19の初期の流行予測とその評価

  國谷紀良

  2020年度日本数理生物学会年会, Sep. 2020, Japanese

  Oral presentation


• COVID-19の流行初期のデータによる予測とその評価

  國谷紀良

  日本応用数理学会2020年度年会, Sep. 2020, Japanese

  [Invited]

  Oral presentation


• 年齢構造をもつ感染症モデルの安定性解析

  國谷紀良

  第64回システム制御情報学会 研究発表講演会, May 2020, Japanese

  [Invited]

  Oral presentation


• 拡散方程式による感染症の伝播強度と空間領域の形状の関係の考察

  國谷紀良

  2019年度応用数学合同研究集会, Dec. 2019, Japanese

  Oral presentation


• 拡散方程式と格子モデルによる感染症の伝播強度と空間領域の形状の関係の考察

  國谷紀良

  数学と現象：Mathematics and Phenomena in Miyazaki 2019, Nov. 2019, Japanese

  [Invited]

  Invited oral presentation


• Global behavior of a multi-group SIR epidemic model with age structure and estimation of Ro for the chlamydia epidemic in Japan

  Toshikazu Kuniya

  Dynamics, Equations and Applications, Sep. 2019, English

  Oral presentation


• 異なる境界条件下での空間拡散を伴う感染齢構造化SIRモデルの解析

  Abdennasser Chekroun, 國谷紀良

  日本応用数理学会2019年度年会, Sep. 2019, Japanese

  Oral presentation


• Stability and instability of an age-structured SIR epidemic model

  Toshikazu Kuniya

  The 7th China-India-Japan-Korea International Conference on Mathematical Biology, Aug. 2019, English

  [Invited]

  Invited oral presentation


• Global dynamics of a multi-group age-structured SIR epidemic model with an application to the chlamydia epidemic in Japan

  KUNIYA Toshikazu

  The Sixth International Workshop on Biomathematics Modelling and Its Dynamical Analysis, May 2019, English, International conference

  [Invited]


• An application of a multi-group age-structured SIR epidemic model to the chlamydia epidemic in Japan

  KUNIYA Toshikazu

  The 1st Hungary-Japan Workshop on Delay Equations and Mathematical Epidemiology, Apr. 2019, English, International conference

  [Invited]


• ノイマン境界条件下での空間拡散を伴う感染齢構造化SIR感染症モデルの解析

  國谷 紀良

  日本数学会2019年度年会, Mar. 2019, Japanese, Domestic conference


• Stability analysis of the endemic equilibrium of an age-structured SIR epidemic model

  KUNIYA Toshikazu

  Innovative Mathematical Modeling for the Analysis of Infectious Disease Data (IMAID 2018), Jan. 2019, English, Domestic conference

  [Invited]


• Stability and instability results for the endemic equilibrium in an age-structured SIR epidemic model

  KUNIYA Toshikazu

  International Conference on Mathematical Modelling and Computations, Dec. 2018, English, International conference

  [Invited]


• 年齢構造化SIR感染症モデルのエンデミックな非自明平衡解の安定性に関する諸結果

  國谷 紀良

  2018年度応用数学合同研究集会, Dec. 2018, Japanese, Domestic conference


• 非局所的な拡散を伴うSIR感染症モデルの漸近挙動

  國谷 紀良

  日本数学会2018年度秋季総合分科会, Sep. 2018, Japanese, Domestic conference


• 多集団SIR感染症モデルを用いたクラミジア疫学データの考察

  國谷 紀良

  日本応用数理学会2018年度年会, Sep. 2018, Japanese, Domestic conference

  Poster presentation


• Global dynamics of an SIR epidemic model with nonlocal diffusion

  KUNIYA Toshikazu

  The Fifth International Workshop on Biomathematics Modelling and Its Dynamical Analysis, Aug. 2018, English, International conference

  [Invited]


• Dynamics of a mathematical model for hematopoietic stem cells with diffusion and time delay

  KUNIYA Toshikazu

  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jul. 2018, English, International conference

  [Invited]


• 非局所的な拡散項を持つSIR感染症モデルの大域的漸近安定性

  國谷 紀良

  力学系 -理論と応用の融合-, Jun. 2018, Japanese, Domestic conference


• 性器ヘルペス感染症に対する数理モデルの構築と解析

  國谷 紀良

  日本人口学会第70回大会, Jun. 2018, Japanese, Domestic conference

  [Invited]


• 時間遅れを持つ非局所的な造血幹細胞ダイナミクスの数理モデル解析

  KUNIYA Toshikazu

  日本数学会2018年度年会, Mar. 2018, Japanese, Domestic conference

  Oral presentation


• 再発を伴う感染症の数理モデリング：性器ヘルペス感染症の場合

  KUNIYA Toshikazu

  第1回松江数理生物学・現象数理学ワークショップ, Dec. 2017, Japanese, Domestic conference

  Oral presentation


• 構造化感染症モデルの安定性解析

  KUNIYA Toshikazu

  第27回日本数理生物学会年会, Oct. 2017, Japanese, Domestic conference

  [Invited]

  Invited oral presentation


• The semi-discretization method for numerical computation of the basic reproduction number Ro

  KUNIYA Toshikazu

  The Fourth International Workshop on Biomathematics Modelling and Its Dynamical Analysis, Oct. 2017, English, International conference

  [Invited]

  Invited oral presentation


• Spectral approximation theory for the numerical computation of Ro in age-structured epidemic models

  KUNIYA Toshikazu

  Innovative Mathematical Modeling for the Analysis of Infectious Disease Data, Oct. 2017, English, International conference

  Oral presentation


• 年齢構造化感染症モデルに対する基本再生産数Roの数値近似

  KUNIYA Toshikazu

  日本応用数理学会2017年度年会, Sep. 2017, Japanese, Domestic conference

  Oral presentation


• Numerical approximation of the basic reproduction number Ro for age-structured epidemic models

  KUNIYA Toshikazu

  6th China India Japan Korea Mathematical Biology Colloquium, Aug. 2017, English, International conference

  [Invited]

  Invited oral presentation


• 実年齢構造を持つSIR感染症モデルの安定性解析と基本再生産数Roの数値近似

  KUNIYA Toshikazu

  京都駅前セミナー, Jun. 2017, Japanese, Domestic conference

  Public discourse


• Mathematical analysis of an HIV model with infection-age-structure and nonlinear incidence

  KUNIYA TOSHIKAZU, WANG Jinliang, ZHANG Ran

  MSJ Spring Meeting 2017, Mar. 2017, Japanese, Tokyo Metropolitan University, Domestic conference

  Oral presentation


• 拡散を伴う空間異質的な感染症モデルに対するLyapunov関数の構築

  KUNIYA Toshikazu

  2016年度応用数学合同研究集会, Dec. 2016, Japanese, Domestic conference

  Oral presentation


• 拡散項と空間依存係数を持つ感染症モデルの大域的漸近安定性

  KUNIYA Toshikazu

  第13回生物数学の理論とその応用, Nov. 2016, Japanese, Domestic conference

  Oral presentation


• バックステッピング法を利用した感染症流行予測

  KUNIYA Toshikazu

  第57回日本熱帯医学会大会, Nov. 2016, English, Domestic conference

  [Invited]

  Invited oral presentation


• バックステッピング法に基づくインフルエンザ患者数の増減予測

  KUNIYA Toshikazu

  第59回自動制御連合講演会, Nov. 2016, Japanese, Domestic conference

  Oral presentation


• Global stability analysis for epidemic models with diffusion terms and space-dependent coefficients

  KUNIYA Toshikazu

  KMS-MSJ Joint Meeting 2016, Oct. 2016, English, International conference

  [Invited]

  Invited oral presentation


• Applications of the backstepping method to the prediction of epidemics

  KUNIYA Toshikazu

  Innovative Mathematical Modeling for the Analysis of Infectious Disease Data (IMAID 2016), Oct. 2016, English, Domestic conference

  Oral presentation


• 拡散項と空間依存係数を持つ感染症モデルに対するLyapunov関数の構築

  KUNIYA Toshikazu

  日本応用数理学会2016年度年会, Sep. 2016, Japanese, Domestic conference

  Oral presentation


• 拡散項と空間依存係数を持つSIR感染症モデルのLyapunov関数の構築

  KUNIYA Toshikazu

  日本数学会2016年度秋季総合分科会, Sep. 2016, Japanese, Domestic conference

  Oral presentation


• Global stability of epidemic models with time delay: The memory of Professor Yoshiaki Muroya

  KUNIYA Toshikazu

  Workshop on Qualitative Theory of Mathematical Models, Sep. 2016, English, Domestic conference

  [Invited]

  Invited oral presentation


• Discretization approach for the global stability analysis of structured epidemic models

  KUNIYA Toshikazu

  JSMB 2016, Sep. 2016, English, Domestic conference

  [Invited]

  Invited oral presentation


• Global stability of an SVIR epidemic model with relapse

  KUNIYA Toshikazu

  The Third International Workshop on Biomathematics Modelling and Ist Dynamical Analysis, Aug. 2016, English, International conference

  [Invited]

  Invited oral presentation


• Global stability analysis for an age-structured multi-group SIR epidemic model

  KUNIYA Toshikazu

  A seminar at Shanxi University, Aug. 2016, English, International conference

  Public discourse


• Global stability of a multi-group SIR epidemic model with age structure

  KUNIYA Toshikazu

  Differencialegyenletek szeminarium, Jul. 2016, English, International conference

  Public discourse


• Global stability of a multi-group SIR epidemic model with discrete and continuous age structures

  KUNIYA Toshikazu

  International Workshop on Current Topics in Epidemic Dynamics, Jun. 2016, English, International conference

  [Invited]

  Invited oral presentation


• Global stability analysis for an age-structured multi-group SIR epidemic model

  KUNIYA Toshikazu

  The Canadian Mathematical Society Summer Meeting, Jun. 2016, English, International conference

  [Invited]

  Invited oral presentation


• 情報伝播の数理モデルの大域的挙動

  KUNIYA Toshikazu

  日本数学会2016年度年会, Mar. 2016, Japanese, Domestic conference

  Oral presentation


• バックステッピング法に基づく感染人口の増減予測

  KUNIYA Toshikazu

  数理人口学・数理生物学セミナー, Jan. 2016, Japanese, Domestic conference

  Public discourse


• 個人の異質性を考慮した情報伝播の数理モデルの大域的挙動

  KUNIYA Toshikazu

  2015年度応用数学合同研究集会, Dec. 2015, Japanese, Domestic conference

  Oral presentation


• 空間異質的な年齢構造化SIS感染症モデルの漸近挙動

  KUNIYA Toshikazu

  第12回生物数学の理論とその応用, Nov. 2015, Japanese, Domestic conference

  Oral presentation


• バックステッピング法に基づく感染症の初期流行予防のための人口制御

  KUNIYA Toshikazu, SANO Hideki

  第58回自動制御連合講演会, Nov. 2015, Japanese, Domestic conference

  Oral presentation


• Applications of the backstepping method to the analysis of infectious disease models

  KUNIYA Toshikazu

  Innovative Mathematical Modeling for the Analysis of Infectious Disease Data, Oct. 2015, English, Domestic conference

  Oral presentation


• バックステッピング法に基づく感染症の初期流行予防のための人口制御

  KUNIYA Toshikazu, SANO Hideki

  日本応用数理学会2015年度年会, Sep. 2015, Japanese, Domestic conference

  Oral presentation


• Lyapunov functional method based on the discretization for a spatially diffusive SIR epidemic model

  KUNIYA Toshikazu

  The Second International Workshop on Biomathematics Modelling and Its Dynamical Analysis, Aug. 2015, English, International conference

  [Invited]

  Invited oral presentation


• Lyapunov functional approach for an SIR epidemic model with Laplacian

  KUNIYA Toshikazu

  2015 JSMB-CJK Joint Meeting, Aug. 2015, English, International conference

  Oral presentation


• Lyapunov functions for a spatially diffusive SIR epidemic model

  KUNIYA Toshikazu

  10th Colloquium on the Qualitative Theory of Differential Equations, Jul. 2015, English, International conference

  [Invited]

  Invited oral presentation


• 空間異質性を持つ年齢構造化SIS感染症モデルの漸近挙動

  KUNIYA Toshikazu

  日本数学会2015年度年会, Mar. 2015, Japanese, Domestic conference

  Invited oral presentation


• 空間異質性を含む年齢構造化SIS感染症モデルの大域的解析

  KUNIYA Toshikazu

  数理生物学セミナー, Dec. 2014, Japanese, Domestic conference

  Oral presentation


• 多次元ODEとしての感染症の数理モデルに対する漸近安定性解析

  KUNIYA Toshikazu

  実領域における常微分方程式の定性的理論とその応用, Nov. 2014, English, Domestic conference

  Oral presentation


• 空間構造を含む年齢構造化感染症モデルにおけるエンデミックな平衡解の存在について

  KUNIYA TOSHIKAZU

  感染症数理モデルの実用化と産業及び政策での活用のための新たな展開, Oct. 2014, English, JR博多シティ会議場, Domestic conference

  Oral presentation


• 空間構造と年齢構造を含む感染症モデルにおける非自明平衡解の存在

  KUNIYA TOSHIKAZU

  第11回生物数学の理論とその応用, Sep. 2014, Japanese, 京都大学数理解析研究所, Domestic conference

  Oral presentation


• 空間拡散を考慮に入れた年齢構造化SIS感染症モデルの解析

  KUNIYA TOSHIKAZU

  日本数学会2014年度秋季総合分科会, Sep. 2014, Japanese, 広島大学 東広島キャンパス, Domestic conference

  Oral presentation


• 空間拡散を含む年齢構造化 SIS 感染症モデルにおける平衡解の存在

  KUNIYA TOSHIKAZU

  日本応用数理学会2014年度年会, Sep. 2014, Japanese, 政策研究大学院大学, Domestic conference

  Oral presentation


• 拡散項を含む年齢構造化 SIS 感染症モデルの解析

  KUNIYA TOSHIKAZU

  第36回発展方程式若手セミナー, Aug. 2014, Japanese, 休暇村南阿蘇, Domestic conference

  Oral presentation


• On the invariance principle appearing in Lyapunov functional techniques for structured population models

  KUNIYA TOSHIKAZU

  JSMB/SMB 2014 Osaka, Aug. 2014, English, Osaka, International conference

  Oral presentation


• Existence of endemic periodic solutions in age-structured epidemic models

  KUNIYA TOSHIKAZU

  JSMB/SMB 2014 Osaka, Aug. 2014, English, Osaka, International conference

  Oral presentation


• 構造化SIS感染症モデルの定性的解析に関する最近の結果

  KUNIYA TOSHIKAZU

  神戸大学解析セミナー, Jun. 2014, Japanese, 神戸大学六甲台第二キャンパス, Domestic conference

  Public discourse


• 感染症の数理モデルの安定性解析に関する近年の諸結果

  KUNIYA TOSHIKAZU

  神戸大学計算科学セミナー, Jun. 2014, Japanese, 神戸大学六甲台第二キャンパス, Domestic conference

  Public discourse


• 年齢変数を含む非線形偏微分方程式の漸近解析における不変性原理とリャプノフ汎函数の手法について

  KUNIYA TOSHIKAZU

  日本数学会2014年度年会, Mar. 2014, Japanese, 学習院大学目白キャンパス, Domestic conference

  Oral presentation


• 年齢構造化多状態SIR感染症モデルに対する不変性原理とリャプノフ汎函数について

  KUNIYA TOSHIKAZU

  構造化感染症モデルの動態, Feb. 2014, Japanese, 岡山大学津島キャンパス, Domestic conference

  Public discourse


• Invariance principle and Lyapunov functionals for age-structured population models

  KUNIYA TOSHIKAZU

  International Workshop on Biomathematics Modelling and Its Dynamical Analysis, Jan. 2014, English, Harbin, International conference

  Oral presentation


• 多状態年齢構造化SIR感染症モデルの大域的安定性

  KUNIYA Toshikazu

  第10回生物数学の理論とその応用, Nov. 2013, Japanese, Domestic conference

  Oral presentation


• 年齢構造を含む多状態SIR感染症モデルの安定性解析

  KUNIYA Toshikazu

  感染症流行モデリング：理論、実践とシミュレーションのギャップを埋める, Oct. 2013, Japanese, Domestic conference

  Oral presentation


• 季節依存性を持つ感染症の流行動態モデルにおける基本再生産数 Ro の閾値的性質の解析

  KUNIYA Toshikazu

  第23回日本数理生物学会年会, Sep. 2013, Japanese, Domestic conference

  Oral presentation


• 感染症の流行動態モデルとしての微分方程式系の研究

  KUNIYA Toshikazu

  FMSP Tambara Student Session, Sep. 2013, Japanese, Domestic conference

  Public discourse


• 感染症の季節的流行モデルとしての非線形偏微分方程式の解析

  KUNIYA Toshikazu

  日本応用数理学会2013年度年会, Sep. 2013, Japanese, Domestic conference

  Oral presentation


• Age-structured SIS models with periodicity

  Toshikazu Kuniya

  The Fourth Conference on Computational and Mathematical Population Dynamics, May 2013, English, International conference

  Oral presentation


• Analysis for a class of periodic SIS epidemic models with age-structure

  Toshikazu Kuniya

  36th Annual Texas Partial Differential Equations Conference, Mar. 2013, English, International conference

  Oral presentation


• グラフ理論的なリアプノフ汎関数の手法に対する max 関数のアイデア

  KUNIYA Toshikazu

  第9回生物数学の理論とその応用, Nov. 2012, Japanese, Domestic conference

  Oral presentation


• 季節変動的な感染症モデルの基本再生産数とマルサス径数の関係

  KUNIYA Toshikazu

  第22回日本数理生物学会年会, Sep. 2012, Japanese, Domestic conference

  Oral presentation


• Existence and uniqueness results for an age-structured periodic epidemic models

  Toshikazu Kuniya

  2012 C-J-K International Conference on Mathematical Biology, May 2012, English, International conference

  Oral presentation


• 時間周期的な年齢構造化 SIS 感染症モデルの閾値条件に関する諸結果

  KUNIYA Toshikazu

  第8回生物数学の理論とその応用, Nov. 2011, Japanese, Domestic conference

  Oral presentation


• Threshold dynamics of an age-structured SIS epidemic model with seasonal fluctuation

  Toshikazu Kuniya

  Third International Conference on Infectious Disease Dynamics, Nov. 2011, English, International conference

  Poster presentation


• 周期性を持つ年齢構造化 SIS 感染症モデルの解析

  KUNIYA Toshikazu

  第21回日本数理生物学会年会, Sep. 2011, Japanese, Domestic conference

  Oral presentation


• Global stability analysis with a discretiaztion approach for an age-structured SIR epidemic model

  Toshikazu Kuniya

  8th European Conference on Mathematical and Theoretical Biology, Jun. 2011, English, International conference

  Oral presentation


• 年齢構造化感染症モデルにおける離散化を伴う大域的安定性解析

  KUNIYA Toshikazu

  第7回生物数学の理論とその応用, Nov. 2010, Japanese, Domestic conference

  Oral presentation


• Global stability of a multi-group SIR epidemic model for the geographical spread of influenza

  Toshikazu Kuniya

  The Third China-Japan Colloquium of Mathematical Biology, Oct. 2010, English, International conference

  Oral presentation


• 多状態感染症モデルの大域的安定性解析

  KUNIYA Toshikazu

  日本応用数理学会2010年度年会, Sep. 2010, Japanese, Domestic conference

  Oral presentation


• インフルエンザの地理的流行に関する多状態感染症モデルの大域的安定性解析

  KUNIYA Toshikazu

  第20回日本数理生物学会年会, Sep. 2010, Japanese, Domestic conference

  Oral presentation


• A method for global stability analysis of multigroup epidemic models

  Toshikazu Kuniya

  The Third Conference on Computational and Mathematical Population Dynamics, May 2010, English, International conference

  Oral presentation


• Analysis of an epidemic model with age dependency: the case of 2009 H1N1 influenza outbreak

  Toshikazu Kuniya

  2009 SIAM Conference on Analysis of Partial Differential Equations, Dec. 2009, English, International conference

  Oral presentation


• 新型インフルエンザ流行に関する媒介生物感染モデルの安定性解析

  KUNIYA Toshikazu

  第6回生物数学の理論とその応用, Nov. 2009, Japanese, Domestic conference

  Oral presentation


• 連続型遅れをもつ媒介生物感染モデルの安定性解析

  KUNIYA Toshikazu

  第19回日本数理生物学会年会, Sep. 2009, English, Domestic conference

  Oral presentation


• The conditions of the permanence and extinction for a nonautonomous SEIRS epidemic model

  Toshikazu Kuniya

  Ro and related concepts: methods and illustrations, Oct. 2008, English, International conference

  Poster presentation

• The Mathematical Society of Japan


• The Japan Society for Industrial and Applied Mathematics


• Japanese Society for Mathematical Biology

• 構造化感染症モデルによる再帰的流行の波の研究

  國谷 紀良

  日本学術振興会, 科学研究費助成事業, 基盤研究(C), 神戸大学, Apr. 2023 - Mar. 2028


• マルチグループ構造化感染症モデルの数学的解析と実用化

  國谷 紀良

  国立研究開発法人 科学技術振興機構, JSTさきがけ, Oct. 2023 - Mar. 2027, Principal investigator


• Mathematical analysis and epidemiological application of structured epidemic models

  國谷 紀良

  Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists, Grant-in-Aid for Early-Career Scientists, Kobe University, Apr. 2019 - Mar. 2023

  空間構造や年齢構造を含む偏微分方程式系として表される様々な感染症の数理モデルの解析を行った．空間構造を含む系（反応拡散系）としては，ワクチン接種の影響を考慮したモデルと，一時的な免疫等による防護期間を考慮したモデルの2種類を解析した．前者では，領域の境界上に個体が存在しないことを意味するディリクレ境界条件の下で，基本再生産数が1より小さければ感染者がいない定常状態が大域的に漸近安定であり，1より大きければ感染症が風土病となるエンデミックな定常状態が存在することを示した．後者では，感染症の伝播を意味する進行波解の存在に関する閾値条件と，波の進行速度に関する評価を得た．年齢構造を含む系としては，免疫の減衰とブースター効果を考慮したモデルの解析を行った．特に，基本再生産数の値が1に近いときの定常状態の分岐を調べて，流行の制御がより難しいと考えられる後退分岐が起こらないためのいくつかの十分条件を得た．一方，実際の感染症への応用研究としては，COVID-19を対象とし，沖縄県における検査や社会距離拡大政策の効果に関するシミュレーションや，ワクチン接種ペースと東京オリンピック・パラリンピック期間に予想される流行曲線の推定，オミクロン株が主流である第6波後の国内の集団免疫割合の推計などを行った．その他，経済学での応用に向けた数理モデルの基本的な構造の総説や，細胞のロジスティック成長を考慮したB型肝炎のウイルスモデルの長期動態の数値シミュレーション等を行った．


• 異分野融合によるCOVID-19の流行解析のためのデータ科学基盤の整備

  Toshikazu Kuniya

  AMED, Research Program on Emerging and Re-emerging Infectious Diseases, Apr. 2021 - Mar. 2022, Coinvestigator


• Mathematical analysis of nonlinear reaction diffusion systems for epidemic models with space and age structures

  Kuniya Toshikazu

  Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Kobe University, Apr. 2015 - Mar. 2019

  We studied mathematical models for the dynamics of infectious diseases in population. In particular, we focused on models with space and age structures in which the effects of residence area and age of each individual can be considered. In the analysis, from the viewpoint of stability theory in mathematics, we tried to solve the problem whether the basic reproduction number Ro, which represents the intensity of epidemic in the initial invasion phase, can determine the eventual endemic or disease-free states of diseases. Through the work, we verified the epidemiological importance of Ro from the mathematical point of view.


• 生物集団の年齢構造と空間伝播に着目した非線形反応拡散方程式の解析

  國谷 紀良

  科学研究費補助金／研究活動スタート支援, Apr. 2013 - Mar. 2015, Principal investigator

  Competitive research funding

• 「ワクチン接種ペース 4倍増を」収束へ専門家が試算

  朝日新聞, 17 May 2021, 社会面

  Paper


• 新型コロナ 第1波 緊急事態宣言で人と人との接触86%減か

  NHK, おはよう日本, 09 Sep. 2020

  Media report


• 緊急事態 人の接触「86%減」

  Other than myself, 朝日新聞大阪本社, 朝日新聞, 04 Sep. 2020, 社会面

  Paper