Nakata Yukihiko 中田行彦

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

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

Nakata Yukihiko 中田 行彦

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

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

Project Period (FY)

Research Category

Review Section

Research Institution

Mathematical analysis of epidemic models formulated by delay equations: loss of immunity and instabilityPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of a period two solution of a delay differential equation2020

Author(s)

Journal Title

Data Source

[Journal Article] Existence of a period two solution of a delay differential equation2020

Author(s)

Journal Title

Data Source

[Journal Article] The change of susceptibility following infection can induce failure to predict outbreak potential by R02019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Epidemic dynamics with time-varying susceptibility due to repeated infections2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dynamics of an ultra-discrete SIR epidemic model with time delay2018

Author(s)

Journal Title

Data Source

[Journal Article] An explicit periodic solution of a delay differential equation2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Global stability of an SIS epidemic model with a finite infectious period2018

Author(s)

Journal Title

Data Source

[Journal Article] Unbounded and blow-up solutions for a delay logistic equation with positive feedback2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Convergence of a Logistic Type Ultradiscrete Model2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Note on stability conditions for structured population dynamics models2016

Author(s)

Journal Title

DOI

Data Source

[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)

Nakata Yukihiko 中田行彦

[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