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Nakata Yukihiko  中田 行彦

ORCIDConnect your ORCID iD *help
Researcher Number 30741061
Other IDs
Affiliation (Current) 2022: 青山学院大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help 2020: 青山学院大学, 理工学部, 准教授
2018 – 2019: 島根大学, 学術研究院理工学系, 講師
2016 – 2017: 島根大学, 総合理工学研究科, 講師
Review Section/Research Field
Principal Investigator
Foundations of mathematics/Applied mathematics / Mathematical analysis / Basic Section 12040:Applied mathematics and statistics-related
Except Principal Investigator
Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords
Principal Investigator
時間遅れをもつ微分方程式 / 周期解 / 安定性 / 時間遅れ / 微分方程式 / 楕円関数 / 感染症の数理モデル / 構造化個体群モデル / 特性方程式 / 免疫 … More / 感染症数理モデル / 平衡解 / 免疫低下 / 数理モデル / 遅延微分方程式 / 力学系 / 感染症 / 爆発解 / 大域漸近安定性 / 可積分系 / 積分方程式 / 遅延方程式 / ダイナミクス / ハミルトン系 / 数理生物学 … More
Except Principal Investigator
遅延微分方程式 / 解の爆発 / 周期解 / 安定性 / 解のダイナミクス / タイムラグ Less
  • Research Projects

    (3 results)
  • Research Products

    (45 results)
  • Co-Researchers

    (2 People)
  •  分布型の時間遅れをもつ微分方程式の周期解と非線形現象への応用Principal Investigator

    • Principal Investigator
      中田 行彦
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Aoyama Gakuin University
  •  タイムラグが誘導する解の特異性形成の機構解明と解のダイナミクスの数理解析

    • Principal Investigator
      石渡 哲哉
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Shibaura Institute of Technology
  •  Mathematical analysis of epidemic models formulated by delay equations: loss of immunity and instabilityPrincipal Investigator

    • Principal Investigator
      Nakata Yukihiko
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
      Mathematical analysis
    • Research Institution
      Aoyama Gakuin University
      Shimane University

All 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

  • [Journal Article] Note on the uniqueness of an endemic equilibrium of an epidemic model with boosting of immunity2021

    • Author(s)
      Liu Yang, Yukihiko Nakata
    • Journal Title

      Journal of Biological Systems

      Volume: in press(特別号) Pages: 1-12

    • DOI

      10.1142/s0218339021400076

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Existence of a period two solution of a delay differential equation2020

    • Author(s)
      Y. Nakata
    • Journal Title

      DCDS-S

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Existence of a period two solution of a delay differential equation2020

    • Author(s)
      Y. Nakata
    • Journal Title

      Discrete & Continuous Dynamical Systems - S

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Journal Article] The change of susceptibility following infection can induce failure to predict outbreak potential by R02019

    • Author(s)
      Y. Nakata, R. Omori
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 16(2) Pages: 813-830

    • DOI

      10.3934/mbe.2019038

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Epidemic dynamics with time-varying susceptibility due to repeated infections2019

    • Author(s)
      Y. Nakata, R. Omori
    • Journal Title

      Journal of Biological Dynamics

      Volume: 13 Pages: 567-585

    • DOI

      10.1080/17513758.2019.1643043

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Dynamics of an ultra-discrete SIR epidemic model with time delay2018

    • Author(s)
      Masaki Sekiguchi, Emiko Ishiwata, Yukihiko Nakata
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 15 Pages: 653-666

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] An explicit periodic solution of a delay differential equation2018

    • Author(s)
      Y. Nakata
    • Journal Title

      Journal of Dynamics and Diffrential Equations

      Volume: 印刷中

    • DOI

      10.1007/s10884-018-9681-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods2018

    • Author(s)
      Ph. Getto, M. Gyllenberg, Y. Nakata, F. Scarabel
    • Journal Title

      Journal of Mathematical Biology

      Volume: 印刷中

    • DOI

      10.1007/s00285-019-01357-0

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Global stability of an SIS epidemic model with a finite infectious period2018

    • Author(s)
      Yukihiko Nakata, Gergely Rost
    • Journal Title

      Differential Integral Equations

      Volume: 31 Pages: 161-172

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Unbounded and blow-up solutions for a delay logistic equation with positive feedback2018

    • Author(s)
      I. Gyori, Y. Nakata, G. Rost
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 17(6) Pages: 2848-2854

    • DOI

      10.3934/cpaa.2018134

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Journal Article] Convergence of a Logistic Type Ultradiscrete Model2017

    • Author(s)
      Sekiguchi Masaki, Ishiwata Emiko, Nakata Yukihiko
    • Journal Title

      Discrete Dynamics in Nature and Society

      Volume: 2017 Pages: 1-6

    • DOI

      10.1155/2017/7893049

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400212, KAKENHI-PROJECT-16K20976
  • [Journal Article] Note on stability conditions for structured population dynamics models2016

    • Author(s)
      Yukihiko Nakata
    • Journal Title

      Electron. J. Qual. Theory Differ. Equ.

      Volume: 78 Pages: 1-14

    • DOI

      10.14232/ejqtde.2016.1.78

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] 感染症の数理モデルから現れる時間遅れをもつ微分方程式と解のダイナミクス2021

    • Author(s)
      中田行彦
    • Organizer
      日本数学会(応用数学分科会)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03734
  • [Presentation] 感染症の数理モデルから現れる時間遅れをもつ微分方程式と解のダイナミクス2021

    • Author(s)
      中田行彦
    • Organizer
      日本数学会(応用数学分科会 特別講演)
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] 感染症の数理モデルから現れる時間遅れをもつ微分方程式と解のダイナミクス2021

    • Author(s)
      中田行彦
    • Organizer
      日本数学会(応用数学分科会)
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] On a blow-up phenomenon in scalar delay differential equations2021

    • Author(s)
      Tetstuya Ishiwata, Yukihiko Nakata
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] 分布型の時間遅れをもつ微分方程式の対称的な周期解について2020

    • Author(s)
      中田行彦
    • Organizer
      北陸応用数理研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] ステップ型の非線形性をもつ分布型の遅延微分方程式2020

    • Author(s)
      中田行彦,Gabriella Vas
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] 階段形の非線形関数をもつ遅延微分方程式について2020

    • Author(s)
      中田行彦, Gabriella Vas
    • Organizer
      日本応用数理学会年会
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] 2次元遅延微分方程式系の周期解の安定性について2020

    • Author(s)
      石渡哲哉, Alexey Eremin, 石渡 恵美子, 中田 行彦
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] 階段形の非線形関数をもつ遅延微分方程式について2020

    • Author(s)
      中田行彦, Gabriella Vas
    • Organizer
      日本応用数理学会年会(OS: 時間遅れと数理)
    • Data Source
      KAKENHI-PROJECT-20K03734
  • [Presentation] 階段形の非線形関数をもつ遅延微分方程式について2020

    • Author(s)
      中田行彦,Gabriella Vas
    • Organizer
      日本応用数理学会 2020年度 年会
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] 分布型の時間遅れをもつ微分方程式の対称的な周期解について2020

    • Author(s)
      中田行彦
    • Organizer
      北陸応用数理研究会2020
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] ある分布型の時間遅れをもつ微分方程式の爆発解について2020

    • Author(s)
      石渡哲哉,中田行彦
    • Organizer
      応用数学合同研究集会
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] Stability analysis of an epidemic model with boosting of immunity2019

    • Author(s)
      Y. Nakata, R. Omori, L. Yang
    • Organizer
      The fifth conference on computational and mathematical population dynamics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Period two solutions of distributed delay differential equations2019

    • Author(s)
      Y. Nakata
    • Organizer
      Equadiff 2019
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Period two solutions of distributed delay differential equations2019

    • Author(s)
      Y. Nakata
    • Organizer
      11th Colloquium on the Qualitative Theory of Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] 分布型の時間遅れをもつ微分方程式の周期解について2019

    • Author(s)
      中田行彦
    • Organizer
      日本数学会 2019年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] 免疫減衰をもつ感染症数理モデル における周期流行2019

    • Author(s)
      中田行彦, 大森亮介, Yang Liu
    • Organizer
      日本応用数理学会2019年度年会
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Period two solutions of distributed delay differential equations2019

    • Author(s)
      Y. Nakata
    • Organizer
      11th Colloquium on the Qualitative Theory of Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] 感染症の流行動態における時間遅れ2019

    • Author(s)
      中田行彦
    • Organizer
      第1回時間遅れが誘導する現象と数理
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] 分布型の時間遅れをもつ微分方程式の周期解について2019

    • Author(s)
      中田行彦
    • Organizer
      日本数学会 秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] Period two solutions of distributed delay differential equations2019

    • Author(s)
      Y. Nakata
    • Organizer
      Equadiff
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21836
  • [Presentation] Period two solutions of a class of delay differential equations.2018

    • Author(s)
      Y. Nakata
    • Organizer
      常微分方程式の定性的理論および数理モデル研究への応用, 京都大学数理解析研究所
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] ある遅延微分方程式の陽的な周期解について2018

    • Author(s)
      中田行彦
    • Organizer
      日本応用数理学会
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] ある遅延微分方程式の陽的な周期解について2018

    • Author(s)
      中田行彦
    • Organizer
      日本数学会
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Periodic solutions of a delay differential equation.2018

    • Author(s)
      Y. Nakata
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Delay Equations for Epidemic Models with Waning Immunity2017

    • Author(s)
      Yukihiko Nakata
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Delay Equations for Reinfection Dynamic2017

    • Author(s)
      中田行彦
    • Organizer
      日本数学会2017年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Infection and reinfection dynamics in a heterogeneous susceptible population2017

    • Author(s)
      中田行彦
    • Organizer
      第14回「生物数学の理論とその応用」- 構造化個体群モデルとその応用-
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Epidemic models for delay equations2016

    • Author(s)
      Yukihiko Nakata
    • Organizer
      RIMS研究集会 常微分方程式の定性的理論とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-11-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Stability of a logistic equation with multiple delays2016

    • Author(s)
      Yukihiko Nakata
    • Organizer
      The 22nd International Conference on Difference Equations and Applications
    • Place of Presentation
      I-siteなんば(大阪府立大学)
    • Year and Date
      2016-07-16
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Epidemic Models with Waning Immunity2016

    • Author(s)
      Yukihiko Nakata
    • Organizer
      China-Japan Joint Workshop on Mathematics & Statistics
    • Place of Presentation
      School of Mathematics and Statistics, Northeast Normal University, China
    • Year and Date
      2016-10-09
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Epidemic models with waning immunity2016

    • Author(s)
      Yukihiko Nakata
    • Organizer
      International Conference for the 70th Anniversary of Korean Mathematical Society
    • Place of Presentation
      ソウル大学、韓国
    • Year and Date
      2016-10-20
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • [Presentation] Epidemic models for delay equations2016

    • Author(s)
      Yukihiko Nakata
    • Organizer
      JSMB2016
    • Place of Presentation
      九州大学
    • Year and Date
      2016-09-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K20976
  • 1.  石渡 哲哉 (50334917)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 2.  石渡 恵美子 (30287958)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 4 results

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