Nakata Yukihiko

ナカタユキヒコ | Nakata Yukihiko

Affiliation and department：
Homepage URL (1)： https://www.math.aoyama.ac.jp/~ynakata/

Research field (2)： Applied mathematics and statistics , Basic mathematics

Research keywords (7)：時間遅れをもつ微分方程式 , 数理モデル , Functional Equation , Dynamical System , Epidemiology , Structured Population Dynamics , Delay Equation

Research theme for competitive and other funds (4)：

2020 - 2024 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
2019 - 2023 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
2016 - 2020 遅延方程式により定式化される感染症モデルの数理解析:免疫減衰と不安定性
2014 - 2016 遅延方程式による構造化個体群モデルの開発と数理解析及び疫学、細胞生物学への応用

Papers (25)：

Masaki Sekiguchi, Emiko Ishiwata, Yukihiko Nakata. Dynamics of an ultra-discrete sir epidemic model with time delay. Mathematical Biosciences and Engineering. 2018. 15. 3. 653-666
Yukihiko Nakata. Note on stability conditions for structured population dynamics models. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. 2016. 78
Maria Vittoria Barbarossa, Attila Denes, Gabor Kiss, Yukihiko Nakata, Gergely Roest, Zsolt Vizi. Transmission Dynamics and Final Epidemic Size of Ebola Virus Disease Outbreaks with Varying Interventions. PLOS ONE. 2015. 10. 7
Yukihiko Nakata, Gergely Roest. Global analysis for spread of infectious diseases via transportation networks. JOURNAL OF MATHEMATICAL BIOLOGY. 2015. 70. 6. 1411-1456
Nakata Yukihiko, Rost Gergely. Global dynamics of a delay differential system of a two-patch SIS model with transport-related infections. Mathematica Bohemica. 2015. 140. 2. 171-193

ｍore...

MISC (5)：

Yoshiaki Muroya, Yoichi Enatsu, Yukihiko Nakata. Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2011. 377. 1. 1-14
Enatsu Yoichi, Nakata Yukihiko, Muroya Yoshiaki. Lyapunov functional techniques on stability analysis for mathematical models (Theory of Biomathematics and its Applications VI). RIMS Kokyuroku. 2010. 1704. 120-127
Huaixing Li, Yoshiaki Muroya, Yukihiko Nakata, Rong Yuan. Global stability of nonautonomous logistic equations with a piecewise constant delay. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. 2010. 11. 3. 2115-2126
Yukihiko Nakata, Yoshiaki Muroya. Permanence for nonautonomous Lotka-Volterra cooperative systems with delays. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. 2010. 11. 1. 528-534
E. Messina, Y. Muroya, Y. Nakata, E Russo, A. Vecchio. An affirmative answer to Gopalsamy and Liu's conjecture on population models with piecewise constant arguments. International Journal of Qualitative Theory of Differtial Equations and Applications. 2010. accepted

Education (3)：

2006 - 2008 Waseda University Graduate School of Science and Engineering Department of Mathematical Sciences
2002 - 2006 Waseda University Faculty of Science and Engineering Department of Mathematical Sciences
Waseda University Graduate School of Fundamental Science and Engineering Department of Pure and Applied Mathematics

Professional career (1)：

Doctor of Science (Waseda University)

Work history (6)：

2024/03 - 現在 Aoyama Gakuin University College of Science and Engineering, Department of Mathematical Sciences
2020/04 - 2024/03 Aoyama Gakuin University College of Science and Engineering Department of Physics and Mathematics Associate Professor
2016/04 - 2020/03 Shimane University Interdisciplinary Faculty of Science and Engineering Lecturer
2014/04 - 2016/03 University of Tokyo Graduate School of Mathematical Sciences JSPS Postdoctoral Fellow PD
2012/06 - 2014/02 University of Szeged Bolyai Institute Postdoctoral Fellow

Show all

Committee career (1)：

2018/04 - 現在日本応用数理学会「応用数理」編集委員

Awards (1)：

2015/08 - 日本数理生物学会研究奨励賞

Association Membership(s) (4)：

SIAM (Society for Industrial and Applied Mathematics) , THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS , THE MATHEMATICAL SOCIETY OF JAPAN , THE JAPANESE SOCIETY FOR MATHEMATICAL BIOLOGY

※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page