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Mathematical analysis and epidemiological application of structured epidemic models

Research Project

Project/Area Number 19K14594
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 12040:Applied mathematics and statistics-related
Research InstitutionKobe University

Principal Investigator

Kuniya Toshikazu  神戸大学, システム情報学研究科, 准教授 (60713013)

Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2022: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords感染症 / 数理モデル / 基本再生産数 / 異質性 / 年齢構造 / 空間構造 / 流行予測 / 政策効果 / 時間遅れ / 拡散 / ホップ分岐 / 反応拡散系 / 進行波解 / 後退分岐 / COVID-19 / 公衆衛生 / 感染症モデル / 安定性 / 微分方程式
Outline of Research at the Start

本研究では,集団内での感染症流行を表す数理モデルのうち,年齢や位置,性別などの個体の異質性を考慮できる構造化感染症モデルに着目する.そのようなモデルは偏微分方程式系であり,解析は一般に困難であるが,現代社会の多様な疫学データを有効活用する上で,その解析は必須の課題である.本研究では,感染症の流行強度を表す基本再生産数Roの観点からモデルを解析し,その結果を流行予測や防疫策の有効性の検証などの疫学的考察に応用する.

Outline of Final Research Achievements

In this study, we focused on structured epidemic models, which enable us to consider the heterogeneity such as age, sex, location of individuals in population. We performed mathematical analysis and obtained conditions for the occurrence of the outbreak and the recurrent epidemic waves. Moreover, we applied our models to the data of COVID-19 and gained insights on the epidemic prediction and intervention evaluation.

Academic Significance and Societal Importance of the Research Achievements

本研究で得られた成果は,感染症の流行に伴う被害を効果的に減少させる観点から社会貢献に繋がると考えられる.また,数理モデルには普遍性があるため,COVID-19などの特定の感染症に限定されず,将来の様々な感染症の流行に対応可能な基礎理論の構築に,本研究は貢献したと言える.また,本研究で構築した異質性を含むモデルに関する理論は,現代社会に日々蓄積される大規模かつ多様なデータの有効活用に繋がる点で意義があると考えられる.

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (90 results)

All 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (16 results) Journal Article (35 results) (of which Int'l Joint Research: 20 results,  Peer Reviewed: 31 results,  Open Access: 22 results) Presentation (31 results) (of which Int'l Joint Research: 9 results,  Invited: 15 results) Book (1 results) Remarks (7 results)

  • [Int'l Joint Research] 黒竜江大学(中国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] INRIA(フランス)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] University of Tlemcen(アルジェリア)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] 黒竜江大学(中国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] INRIA(フランス)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] University of Tlemcen(アルジェリア)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Hassan II University of Casablanca(モロッコ)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] 黒竜江大学/北方民族大学(中国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] University of Tlemcen(アルジェリア)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] INRIA(フランス)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] University of Udine(イタリア)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] University of Girona(スペイン)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] University of Tlemcen(アルジェリア)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] 黒竜江大学(中国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] University of Tlemcen(アルジェリア)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] University of Lyon(フランス)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Observer design for an infectious disease PDE model considering reinfection2023

    • Author(s)
      H. Sano and T. Kuniya
    • Journal Title

      Automatica

      Volume: 155 Pages: 111091-111091

    • DOI

      10.1016/j.automatica.2023.111091

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hopf bifurcation in a chronological age-structured SIR epidemic model with age-dependent infectivity2023

    • Author(s)
      T. Kuniya and H. Inaba
    • Journal Title

      Mathematical Biosciences & Engineering

      Volume: 20(7) Issue: 7 Pages: 13036-13060

    • DOI

      10.3934/mbe.2023581

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global stability of a SEIR discrete delay differential‐difference system with protection phase2023

    • Author(s)
      Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya, Hanene Meghelli
    • Journal Title

      Mathematical Methods in the Applied Sciences

      Volume: 46 Issue: 17 Pages: 17818-17838

    • DOI

      10.1002/mma.9533

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dynamical analysis of an age-space structured malaria epidemic model2023

    • Author(s)
      Jinliang Wang, Meiyu Cao, Toshikazu Kuniya
    • Journal Title

      Zeitschrift fur angewandte Mathematik und Physik

      Volume: 74 Issue: 6 Pages: 214-214

    • DOI

      10.1007/s00033-023-02097-4

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 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2023

    • Author(s)
      Mostafa Adimy, Abdennasser Chekroun, 國谷紀良
    • Journal Title

      数理解析研究所講究録

      Volume: 2262 Pages: 19-26

    • Related Report
      2023 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Global threshold analysis on a diffusive host-pathogen model with hyperinfectivity and nonlinear incidence functions2023

    • Author(s)
      Jinliang Wang, Wenjing Wu, Toshikazu Kuniya
    • Journal Title

      Mathematics and Computers in Simulation

      Volume: 203 Pages: 767-802

    • DOI

      10.1016/j.matcom.2022.07.013

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A general fractional-order viral infection model with cell-to-cell Transmission and adaptive Immunity2023

    • Author(s)
      Adnane Boukhouima, El Mehdi Lotfi, Marouane Mahrouf, Noura Yousfi, Toshikazu Kuniya
    • Journal Title

      Progress in Fractional Differentiation and Applications

      Volume: 9 Issue: 1 Pages: 41-63

    • DOI

      10.18576/pfda/090103

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mathematical analysis of a vaccination epidemic model with nonlocal diffusion2023

    • Author(s)
      Soufiane Bentout, Salih Djilali, Toshikazu Kuniya, Jinliang Wang
    • Journal Title

      Mathematical Methods in the Applied Sciences

      Volume: - Issue: 9 Pages: 10970-10994

    • DOI

      10.1002/mma.9162

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Analysis of a degenerated reaction-diffusion cholera model with spatial heterogeneity and stabilized total humans2022

    • Author(s)
      Jinliang Wang, Wenjing Wu, Toshikazu Kuniya
    • Journal Title

      Mathematics and Computers in Simulation

      Volume: 198 Pages: 151-171

    • DOI

      10.1016/j.matcom.2022.02.026

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global asymptotic stability for a distributed delay differential-difference system of a Kermack-McKendrick SIR model2022

    • Author(s)
      Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya
    • Journal Title

      Applicable Analysis

      Volume: - Issue: 12 Pages: 1-13

    • DOI

      10.1080/00036811.2022.2075352

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global dynamics for a class of reaction-diffusion equations with distributed delay and non-monotone bistable nonlinearity2022

    • Author(s)
      Toshikazu Kuniya, Tarik Mohammed Touaoula
    • Journal Title

      Applicable Analysis

      Volume: - Issue: 14 Pages: 1-25

    • DOI

      10.1080/00036811.2022.2102488

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Recurrent epidemic waves in a delayed epidemic model with quarantine2022

    • Author(s)
      Toshikazu Kuniya
    • Journal Title

      Journal of Biological Dynamics

      Volume: 16 Issue: 1 Pages: 619-639

    • DOI

      10.1080/17513758.2022.2111468

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase2022

    • Author(s)
      M. Adimy, A. Chekroun, T. Kuniya
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 505 Issue: 1 Pages: 125464-125464

    • DOI

      10.1016/j.jmaa.2021.125464

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Analysis of a diffusive HBV model with logistic proliferation and non-cytopathic antiviral mechanisms2022

    • Author(s)
      J. Wang, X. Wu, T. Kuniya
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 106 Pages: 106110-106110

    • DOI

      10.1016/j.cnsns.2021.106110

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global Stability of an Age-Structured Epidemic Model and the Basic Reproduction Number <i>R</i><sub>0</sub>2021

    • Author(s)
      國谷紀良
    • Journal Title

      SYSTEMS, CONTROL AND INFORMATION

      Volume: 65 Issue: 8 Pages: 311-316

    • DOI

      10.11509/isciesci.65.8_311

    • NAID

      130008159850

    • ISSN
      0916-1600, 2424-1806
    • Year and Date
      2021-08-15
    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] Modeling population-wide testing of SARS-CoV-2 for containing COVID-19 pandemic in Okinawa, Japan2021

    • Author(s)
      K. Shimizu, T. Kuniya, Y. Tokuda
    • Journal Title

      Journal of General and Family Medicine

      Volume: 22 Issue: 4 Pages: 173-181

    • DOI

      10.1002/jgf2.439

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Prediction of COVID‐19 cases during Tokyo's Olympic and Paralympic Games2021

    • Author(s)
      Y. Tokuda, T. Kuniya
    • Journal Title

      Journal of General and Family Medicine

      Volume: 22 Issue: 4 Pages: 171-172

    • DOI

      10.1002/jgf2.465

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] An age-structured epidemic model with boosting and waning of immune status2021

    • Author(s)
      K. Okuwa, H. Inaba and T. Kuniya
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 18(5) Issue: 5 Pages: 5707-5736

    • DOI

      10.3934/mbe.2021289

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] A reaction-diffusion Susceptible-Vaccinated-Infected-Recovered model in a spatially heterogeneous environment with Dirichlet boundary condition2021

    • Author(s)
      J. Wang, R. Zhang, T. Kuniya
    • Journal Title

      Mathematics and Computers in Simulation

      Volume: 190 Pages: 848-865

    • DOI

      10.1016/j.matcom.2021.06.020

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Structure of epidemic models: toward further applications in economics2021

    • Author(s)
      T. Kuniya
    • Journal Title

      The Japanese Economic Review

      Volume: 72 Issue: 4 Pages: 581-607

    • DOI

      10.1007/s42973-021-00094-8

    • NAID

      210000186510

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Potential impact of alternative vaccination strategies on COVID-19 cases, hospitalization, and mortality in Japan during 2021–20222021

    • Author(s)
      Y. Tokuda, T. Kuniya, K. Shibuya
    • Journal Title

      Journal of General and Family Medicine

      Volume: 22 Issue: 6 Pages: 311

    • DOI

      10.1002/jgf2.493

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] Mathematical analysis of an age structured heroin-cocaine epidemic model2020

    • Author(s)
      A. Chekroun, M.N. Frioui, T. Kuniya, T.M. Touaoula
    • Journal Title

      Discrete and Continuous Dynamical Systems Series B

      Volume: 25 Issue: 11 Pages: 4449-4477

    • DOI

      10.3934/dcdsb.2020107

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Parameter estimation and prediction for coronavirus disease outbreak 2019 (COVID-19) in Algeria2020

    • Author(s)
      S. Bentout, A. Chekroun, T. Kuniya
    • Journal Title

      AIMS Public Health

      Volume: 7 Issue: 2 Pages: 306-318

    • DOI

      10.3934/publichealth.2020026

    • NAID

      120006873011

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Demand and supply of invasive and noninvasive ventilators at the peak of the COVID-19 outbreak in Okinawa2020

    • Author(s)
      T. Kuniya, Y. Nakama, Y. Tokuda
    • Journal Title

      Journal of General and Family Medicine

      Volume: 21 Issue: 4 Pages: 98-101

    • DOI

      10.1002/jgf2.336

    • NAID

      120006876714

    • Related Report
      2020 Research-status Report
    • Open Access
  • [Journal Article] Possible effects of mixed prevention strategy for COVID-19 epidemic: massive testing, quarantine and social distancing2020

    • Author(s)
      T. Kuniya and H. Inaba
    • Journal Title

      AIMS Public Health

      Volume: 7(3) Issue: 3 Pages: 490-503

    • DOI

      10.3934/publichealth.2020040

    • NAID

      120006873056

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Evaluation of the effect of the state of emergency for the first wave of COVID-19 in Japan2020

    • Author(s)
      T. Kuniya
    • Journal Title

      Infectious Disease Modelling

      Volume: 5 Pages: 580-587

    • DOI

      10.1016/j.idm.2020.08.004

    • NAID

      120006884206

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity2020

    • Author(s)
      T. Kuniya, T.M. Touaoula
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 17 Issue: 6 Pages: 7332-7352

    • DOI

      10.3934/mbe.2020375

    • NAID

      120006975757

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Collocation of next-generation operators for computing the basic reproduction number of structured populations2020

    • Author(s)
      D. Breda, T. Kuniya, J. Ripoll, R. Vermiglio
    • Journal Title

      Journal of Scientific Computing

      Volume: 85 Issue: 2

    • DOI

      10.1007/s10915-020-01339-1

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment2020

    • Author(s)
      J. Wang, F. Xie, T. Kuniya
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 80 Pages: 104951-104951

    • DOI

      10.1016/j.cnsns.2019.104951

    • NAID

      120006766131

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Prediction of the epidemic peak of coronavirus disease in Japan, 20202020

    • Author(s)
      T. Kuniya
    • Journal Title

      Journal of Clinical Medicine

      Volume: 9 Issue: 3 Pages: 789-789

    • DOI

      10.3390/jcm9030789

    • NAID

      120006841706

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Analysis of an age-structured multi-group heroin epidemic model2019

    • Author(s)
      J. Wang, J. Wang, T. Kuniya
    • Journal Title

      Applied Mathematics and Computation

      Volume: 347 Pages: 78-100

    • DOI

      10.1016/j.amc.2018.11.012

    • NAID

      120006550270

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hopf bifurcation in an age-structured SIR epidemic model2019

    • Author(s)
      T. Kuniya
    • Journal Title

      Applied Mathematics Letters

      Volume: 92 Pages: 22-28

    • DOI

      10.1016/j.aml.2018.12.010

    • NAID

      120006599221

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Mathematical analysis for an age-structured SIRS epidemic model2019

    • Author(s)
      K. Okuwa, H. Inaba and T. Kuniya.
    • Journal Title

      Mathematical Bisciences and Engineering

      Volume: 16(5) Issue: 5 Pages: 6071-6102

    • DOI

      10.3934/mbe.2019304

    • NAID

      120006715552

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions2019

    • Author(s)
      M. Adimy, A. Chekroun, T. Kuniya
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 479 Issue: 1 Pages: 1030-1068

    • DOI

      10.1016/j.jmaa.2019.06.066

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] An infection age-space-structured SIR epidemic model with Dirichlet boundary condition2019

    • Author(s)
      A. Chekroun, T. Kuniya
    • Journal Title

      Mathematical Modelling of Natural Phenomena

      Volume: 14 Issue: 5 Pages: 505-505

    • DOI

      10.1051/mmnp/2019048

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] A delayed epidemic model for behavior change2023

    • Author(s)
      Toshikazu Kuniya
    • Organizer
      30th International Congress on Industrial and Applied Mathematics (ICIAM 2023)
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hopf bifurcation in a chronological age-structured SIR epidemic model2023

    • Author(s)
      Toshikazu Kuniya
    • Organizer
      12th Colloquium on the Qualitative Theory of Differential Equations
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 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2023

    • Author(s)
      國谷紀良
    • Organizer
      2023年度 日本数理生物学会年会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 構造化感染症モデルを利用したCOVID-19の疫学的考察2023

    • Author(s)
      國谷紀良
    • Organizer
      日本人口学会 第75回大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 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2023

    • Author(s)
      國谷紀良
    • Organizer
      Okayama Workshop on Partial Differential Equations
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] パンデミックで活躍する数理モデル2023

    • Author(s)
      國谷紀良
    • Organizer
      数学月間懇話会 (第19回)
    • Related Report
      2023 Annual Research Report
    • Invited
  • [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2023

    • Author(s)
      國谷紀良
    • Organizer
      日本数学会2023年度年会
    • Related Report
      2022 Research-status Report
  • [Presentation] Hopf bifurcation in a delayed epidemic model with vaccination2022

    • Author(s)
      T. Kuniya
    • Organizer
      The 13th Asian Control Conference (ASCC 2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [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2022

    • Author(s)
      國谷紀良
    • Organizer
      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
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] 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2022

    • Author(s)
      國谷紀良
    • Organizer
      日本応用数理学会2022年度年会
    • Related Report
      2022 Research-status Report
  • [Presentation] Applications of age-structured epidemic models for intervention evaluation2022

    • Author(s)
      T. Kuniya
    • Organizer
      Macroeconomics Workshop
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] 感染症数理モデルの平衡点の安定性と分岐解析2022

    • Author(s)
      國谷紀良
    • Organizer
      お茶の水女子大学・解析セミナー
    • Related Report
      2022 Research-status Report
    • Invited
  • [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2022

    • Author(s)
      國谷紀良, T.M. Touaoula
    • Organizer
      日本数学会2022年度年会
    • Related Report
      2021 Research-status Report
  • [Presentation] Prediction and evaluation of COVID-19 in Japan2021

    • Author(s)
      T. Kuniya
    • Organizer
      The Seventh International Workshop on Biomathematics Modelling and Its Dynamical Analysis
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 行動変容を考慮したSIR感染症モデルにおけるホップ分岐について2021

    • Author(s)
      國谷紀良
    • Organizer
      2021年度日本数理生物学会年会
    • Related Report
      2021 Research-status Report
  • [Presentation] 行動変容と感染症の再帰的流行の数理モデリング2021

    • Author(s)
      國谷紀良
    • Organizer
      第24回情報論的学習理論ワークショップ
    • Related Report
      2021 Research-status Report
  • [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2021

    • Author(s)
      國谷紀良
    • Organizer
      愛媛大学解析セミナー
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] COVID-19と行動変容の数理モデル2021

    • Author(s)
      國谷紀良
    • Organizer
      神楽坂「感染症にまつわる数理」勉強会
    • Related Report
      2021 Research-status Report
    • Invited
  • [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2021

    • Author(s)
      國谷紀良
    • Organizer
      日本数学会2021年度年会
    • Related Report
      2020 Research-status Report
  • [Presentation] Evaluation of the epidemic prevention effect of non-pharmaceutical interventions for COVID-19 in Japan2021

    • Author(s)
      T. Kuniya
    • Organizer
      Modeling infectious disease: COVID-19 and beyond
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 年齢構造をもつ感染症モデルの安定性解析2020

    • Author(s)
      國谷紀良
    • Organizer
      第64回システム制御情報学会 研究発表講演会
    • Related Report
      2020 Research-status Report
  • [Presentation] COVID-19の流行初期のデータによる予測とその評価2020

    • Author(s)
      國谷紀良
    • Organizer
      日本応用数理学会2020年度年会
    • Related Report
      2020 Research-status Report
  • [Presentation] SEIRモデルによるCOVID-19の初期の流行予測とその評価2020

    • Author(s)
      國谷紀良
    • Organizer
      2020年度日本数理生物学会年会
    • Related Report
      2020 Research-status Report
  • [Presentation] 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2020

    • Author(s)
      國谷紀良
    • Organizer
      2020年度応用数学合同研究集会
    • Related Report
      2020 Research-status Report
  • [Presentation] Global behavior of a multi-group SIR epidemic model with age structure and estimation of Ro for the chlamydia epidemic in Japan2019

    • Author(s)
      T. Kuniya
    • Organizer
      Dynamics, Equations and Applications (DEA 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stability and instability of an age-structured SIR epidemic model2019

    • Author(s)
      T. Kuniya
    • Organizer
      The 7th China-India-Japan-Korea International Conference on Mathematical Biolgy
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Global dynamics of a multi-group age-structured SIR epidemic model with an application to the chlamydia epidemic in Japan2019

    • Author(s)
      T. Kuniya
    • Organizer
      The Sixth International Workshop on Biomathematics Modelling and Its Dynamical Analysis
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] An application of a multi-group age-structured SIR epidemic model to the chlamydia epidemic in Japan2019

    • Author(s)
      T. Kuniya
    • Organizer
      The 1st Hungary-Japan Workshop on Delay Equations and Mathematical Epidemiology
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [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2019

    • Author(s)
      國谷紀良
    • Organizer
      2019年度 応用数学合同研究集会
    • Related Report
      2019 Research-status Report
  • [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2019

    • Author(s)
      國谷紀良
    • Organizer
      数学と現象:Mathematics and Phenomena in Miyazaki 2019
    • Related Report
      2019 Research-status Report
    • Invited
  • [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2019

    • Author(s)
      國谷紀良
    • Organizer
      日本応用数理学会2019年度年会
    • Related Report
      2019 Research-status Report
  • [Book] 人口と感染症の数理はいかに創られてきたか2022

    • Author(s)
      ニコラ・バカエル, 稲葉寿, 國谷紀良, 中田行彦, 竹内康博
    • Total Pages
      228
    • Publisher
      東京大学出版会
    • ISBN
      9784130639064
    • Related Report
      2022 Research-status Report
  • [Remarks]

    • URL

      https://www2.kobe-u.ac.jp/~tkuniya/

    • Related Report
      2023 Annual Research Report
  • [Remarks] 研究者のホームページ

    • URL

      http://www2.kobe-u.ac.jp/~tkuniya/

    • Related Report
      2022 Research-status Report
  • [Remarks] 研究者のホームページ

    • URL

      http://www2.kobe-u.ac.jp/~tkuniya/index.html

    • Related Report
      2021 Research-status Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~tkuniya/

    • Related Report
      2020 Research-status Report
  • [Remarks]

    • URL

      https://sites.google.com/site/toshikazukuniya/home

    • Related Report
      2020 Research-status Report
  • [Remarks]

    • URL

      http://www2.kobe-u.ac.jp/~tkuniya/

    • Related Report
      2019 Research-status Report
  • [Remarks]

    • URL

      https://sites.google.com/site/toshikazukuniya/home

    • Related Report
      2019 Research-status Report

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Published: 2019-04-18   Modified: 2025-01-30  

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