Nakata Yukihiko 中田行彦

Researcher Number	30741061
Other IDs
Affiliation (Current)	2025: 青山学院大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2025: 青山学院大学, 理工学部, 准教授 2020 – 2023: 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 Basic Section 12040:Applied mathematics and statistics-related / Mathematical analysis Except Principal Investigator Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related / Basic Section 12040:Applied mathematics and statistics-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 遅延微分方程式 / 数理モデル / 楕円関数 / 微分方程式 / 時間遅れ / 安定性 / 周期解 / 時間遅れをもつ微分方程式 / 数理生物学 / ダイナミクス … More / ヤコビの楕円関数 / ハミルトン系 / 分布型の時間遅れ / 遅延方程式 / 積分方程式 / 可積分系 / 大域漸近安定性 / 爆発解 / 感染症 / 力学系 / 免疫低下 / 平衡解 / 感染症数理モデル / 免疫 / 特性方程式 / 構造化個体群モデル / 感染症の数理モデル … More Except Principal Investigator 解のダイナミクス / 周期解 / 遅延微分方程式 / 爆発解 / 特異性 / 安定性 / 解の爆発 / タイムラグ Less

Deepning of mathematical analysis on singularities and complex phenomena induced by the interaction of time delay and nonlinearity
- Principal Investigator
  
  石渡哲哉
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
  Basic Section 12030:Basic mathematics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Shibaura Institute of Technology
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 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Aoyama Gakuin University
Elucidation of the mechanism of solution singularity formation induced by time lag and mathematical analysis of solution dynamics by such mechanism
- Principal Investigator
  
  Ishiwata Tetsuya
- Project Period (FY)
  2019 – 2023
- 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
  
  Mathematical analysis
- Research Institution
  Aoyama Gakuin University
  Shimane University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation Book

[Book] 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2022
- Author(s)
  ニコラ・バカエル（著）稲葉寿（訳）國谷紀良（訳）中田行彦（訳）竹内康博（訳）
- Total Pages
  228
- Publisher
  東京大学出版
- ISBN
  9784130639064
- Data Source
  KAKENHI-PROJECT-20K03734
[Book] 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2022
- Author(s)
  ニコラ・バカエル（著）稲葉寿（訳）國谷紀良（訳）中田行彦（訳）竹内康博（訳）
- Total Pages
  228
- Publisher
  東京大学出版
- ISBN
  9784130639064
- Data Source
  KAKENHI-PROJECT-19K21836
[Journal Article] A simple model to control the wild mosquito with sterile release2024
- Author(s)
  Sasmal Sourav Kumar、Takeuchi Yasuhiro、Nakata Yukihiko
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 531 Issue: 1 Pages: 127828-127828
- DOI
  10.1016/j.jmaa.2023.127828
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734, KAKENHI-PROJECT-20K03755
[Journal Article] 遅延微分方程式の解の爆発現象についての考察2022
- Author(s)
  石渡哲哉，中田行彦
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2232 Pages: 124-134
- Open Access
- Data Source
  KAKENHI-PROJECT-19K21836
[Journal Article] A note on blow-up solutions for a scalar differential equation with a discrete delay2022
- Author(s)
  Tetsuya Ishiwata, Yukihiko Nakata
- Journal Title
  
  Japan J. Indust. Appl. Math.
  
  Volume: 39 Issue: 3 Pages: 959-971
- DOI
  10.1007/s13160-022-00533-y
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03734, KAKENHI-PROJECT-19K21836, KAKENHI-PROJECT-23K20813, KAKENHI-PROJECT-19H05599
[Journal Article] Correction to: A note on blow-up solutions for a scalar differential equation with a discrete delay2022
- Author(s)
  Tetsuya Ishiwata, Yukihiko Nakata
- Journal Title
  
  Japan J. Indust. Appl. Math.
  
  Volume: 39 Issue: 3 Pages: 1109-1109
- DOI
  10.1007/s13160-022-00546-7
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03734
[Journal Article] Delay-induced blow-up in a planar oscillation model2021
- Author(s)
  A. Eremin E. Ishiwata, T. Ishiwata, Y. Nakata
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 38 Issue: 3 Pages: 1037-1061
- DOI
  10.1007/s13160-021-00475-x
- NAID
  210000168240
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734, KAKENHI-PROJECT-19K21836, KAKENHI-PROJECT-19H05599, KAKENHI-PROJECT-23K20813
[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） Issue: 02 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) Issue: 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 Issue: 1 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 Issue: 1 Pages: 163-179
- 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 Issue: 1 Pages: 281-328
- 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) Issue: 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 Issue: 78 Pages: 1-14
- DOI
  10.14232/ejqtde.2016.1.78
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16K20976
[Presentation] An epidemic model for reinfection dynamics with heterogeneous susceptibility2023
- Author(s)
  Y. Nakata
- Organizer
  The 4th International Conference on Dynamics of Differential Equations, in Memory of Jack K. Hale
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] An epidemic model for reinfection dynamics with heterogeneous susceptibility2023
- Author(s)
  Y. Nakata
- Organizer
  ICIAM 2023, Mathematics of Epidemics: modelling, data analysis, and control
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] Period-two solutions for a class of distributed delay differential equations2023
- Author(s)
  Y. Nakata
- Organizer
  12th Colloquium on the Qualitative Theory of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] Extinction of mosquito population with sterile mosquito release2023
- Author(s)
  Y. Nakata
- Organizer
  The 8th CIJK Conference, Mathematical analysis of population dynamics, Sono Belle Jeju
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] 個体群動態に現れる時間遅れ2023
- Author(s)
  中田行彦
- Organizer
  2023軽井沢グラフと解析研究集会
- Data Source
  KAKENHI-PROJECT-19K21836
[Presentation] Period-two solutions for a class of distributed delay differential equations2023
- Author(s)
  Y. Nakata
- Organizer
  12th Colloquium on the Qualitative Theory of Differential Equations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21836
[Presentation] 多体系における伝達遅延現象を表す線形遅延微分方程式の解析2022
- Author(s)
  中田行彦
- Organizer
  2022年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] いくつかの遅延微分方程式の解の爆発について2022
- Author(s)
  中田行彦, 石渡哲哉
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] いくつかの遅延微分方程式の解の爆発について2022
- Author(s)
  中田行彦, 石渡哲哉
- Organizer
  本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-19K21836
[Presentation] 多体系における伝達遅延現象を表す線形遅延微分方程式の解析2022
- Author(s)
  中田行彦
- Organizer
  2022年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-19K21836
[Presentation] On a blow-up phenomenon in scalar delay differential equations2021
- Author(s)
  Yukihiko Nakata, Tetsuya Ishiwata
- Organizer
  BioMATEmatics An International Conference on Biomathematics and Biostatistics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21836
[Presentation] 時間遅れをもつ微分方程式の対称的な周期解について2021
- Author(s)
  中田行彦
- Organizer
  発展方程式若手セミナー：時間遅れへの誘い
- 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）
- 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] On a blow-up phenomenon in scalar delay differential equations2021
- Author(s)
  Yukihiko Nakata, Tetsuya Ishiwata
- Organizer
  Czech-Japanese Seminar in Applied Mathematics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] 遅延微分方程式の爆発問題についての考察2021
- Author(s)
  石渡哲哉, 中田行彦
- Organizer
  日本応用数理学会 2021年度年会
- Data Source
  KAKENHI-PROJECT-19K21836
[Presentation] ある分布型の時間遅れを持つ微分方程式の周期解について2021
- Author(s)
  中田行彦
- Organizer
  日本応用数理学会年会
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] On a blow-up phenomenon in scalar delay differential equations2021
- Author(s)
  Yukihiko Nakata, Tetsuya Ishiwata
- Organizer
  BioMATEmatics An International Conference on Biomathematics and Biostatistics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734
[Presentation] Periodic solution of a class of distributed delay differential equations2021
- Author(s)
  Yukihiko Nakata
- Organizer
  Encontro Nacional da SPM 2021 (National Meeting of the SPM 2021)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03734
[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2021
- Author(s)
  中田行彦
- Organizer
  RIMS共同研究（公開型）「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」
- Data Source
  KAKENHI-PROJECT-20K03734
[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. Ishiwata Tetsuya (50334917)

# of Collaborated Projects: 2 results

# of Collaborated Products: 7 results
2. 石渡恵美子 (30287958)

# of Collaborated Projects: 1 results

# of Collaborated Products: 8 results
3. 高安亮紀 (60707743)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nakata Yukihiko 中田 行彦

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Deepning of mathematical analysis on singularities and complex phenomena induced by the interaction of time delay and nonlinearity

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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

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Elucidation of the mechanism of solution singularity formation induced by time lag and mathematical analysis of solution dynamics by such mechanism

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

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[Book] 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2022

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[Book] 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2022

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[Journal Article] A simple model to control the wild mosquito with sterile release2024

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[Journal Article] 遅延微分方程式の解の爆発現象についての考察2022

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[Journal Article] A note on blow-up solutions for a scalar differential equation with a discrete delay2022

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[Journal Article] Correction to: A note on blow-up solutions for a scalar differential equation with a discrete delay2022

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[Journal Article] Delay-induced blow-up in a planar oscillation model2021

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

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

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

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

Author(s)

Nakata Yukihiko 中田行彦