研究者情報 - 中田　行彦

ナカタ　ユキヒコ NAKATA Yukihiko
中田　行彦

所属

青山学院大学理工学部数理サイエンス学科

職種准教授

研究業績（学会発表）
1.	2024/09	遅延微分方程式$x'(t)=x(t)^2-x(t-\tau)$の解の爆発と零解への収束について (2024年度日本応用数理学会年会)
2.	2024/06	Blow-up to $\infty$ or convergence to $0$ for a delay differential equation (Equadiff 2024)
3.	2023/08	An epidemic model for reinfection dynamics with heterogeneous susceptibility (ICIAM 2023 (10th International Congress on Industrial and Applied Mathematics), Mathematics of Epidemics: modelling, data analysis, and control)
4.	2023/08	An epidemic model for reinfection dynamics with heterogeneous susceptibility (The 4th International Conference on Dynamics of Differential Equations, in Memory of Jack K. Hale, Fields Institute)
5.	2023/06	Extinction of mosquito population with sterile mosquito release (The 8th CIJK Conference Mathematical analysis of population dynamics, Sono Belle Jeju)
6.	2023/06	Period-two solutions for a class of distributed delay differential equations (12th Colloquium on the Qualitative Theory of Differential Equations)
7.	2023/03	ロジスティック型の遅延微分方程式の連立系について (第12回福島応用数学研究集会)
8.	2022/12	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年度応用数学合同研究集会)
9.	2022/09	いくつかの遅延微分方程式の解の爆発について (日本応用数理学会2022年度年会)
10.	2021/11	分布型の時間遅れをもつ微分方程式の周期解について (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」)
11.	2021/09	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 (日本応用数理学会年会)
12.	2021/09	感染に伴う感受性変化が導く感染症の流行動態 (2021年日本数理生物学会年会)
13.	2021/09	時間遅れをもつ微分方程式の対称的な周期解について (発展方程式若手セミナー)
14.	2021/08/30	On a blow-up phenomenon in scalar delay differential equations (BioMATEmatics An International Conference on Biomathematics and Biostatistics)
15.	2021/07	Periodic solution of a class of distributed delay differential equations (Encontro Nacional da SPM 2021)
16.	2021/01	On a blow-up phenomenon in scalar delay differential equations (Czech-Japanese Seminar in Applied Mathematics 2021)
17.	2020/12	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年度応用数学合同研究集会)
18.	2020/09	階段形の非線形関数をもつ遅延微分方程式について (日本応用数理学会年会)
19.	2020/02	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 (北陸応用数理研究会2020)
20.	2019/09	分布型の時間遅れをもつ微分方程式の周期解について (日本数学会2019年度秋季総合分科会)
21.	2019/07	Period two solutions of distributed delay differential equations (Equadiff 2019)
22.	2019/06	Period two solutions of distributed delay differential equations (11th Colloquium on the Qualitative Theory of Differential Equations)
23.	2019/05	Stability analysis of an epidemic model with boosting of immunity (The Fifth International Conference on Computational and Mathematical Population Dynamics (CMPD5))
24.	2018/11	Period two solutions of a class of a delay differential equations (RIMS 研究集会「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」)
25.	2018/09	ある遅延微分方程の陽的な周期解について (日本数学会2018年度秋季総合分科会)
26.	2018/07	Periodic solutions of a delay differential equation (12th AIMS International Conference, Special Session ‘Delay Equations in Population Dynamics’)
27.	2018/03	メタポピュレーション型の感染症数理モデル (情報流の数理)
28.	2017/11	Infection and reinfection dynamics in a heterogeneous susceptible population (RIMS Workshop ‘Theory of Biomathematics and its Applications XIV - Modelling and Analysis for Structured Population Dynamics and its Applications’)
29.	2017/09	Delay equations for epidemic models 個体の再感染-時間遅れ (日本数学会2017年度秋季総合分科会)
30.	2017/05	Delay equations for epidemic models with waning immunity (SIAM Conference on Applications of Dynamical Systems)
31.	2016/11	Delay equations for epidemic models: instability due to waning immunity (数学と現象：Mathematics and Phenomena in Miyazaki)
32.	2016/11	Delay equations for epidmic models: instability due to waning immunity (RIMS共同研究「常微分方程式の定性的理論とその周辺」)
33.	2016/10	Epidemic models with waning immunity (70th Anniversary Conference of the Korean Mathematical Society)
34.	2016/07	Stability of a logistic equation with multiple delays (The 22nd International Conference on Difference Equations and Applications)
35.	2015/11	遅延方程式による感染症モデルの定式化：免疫減衰と再感染 (第12回生物数学の理論とその応用)
36.	2015/08	Delay equation formulation for an epidemic model with waning immunity: an application to mycoplasma pneumoniae (4th IFAC Conference on Analysis and Control of Chaotic Systems)
37.	2015/07	On a transcendental equation from an endemic model (10th Colloquium on the Qualitative Theory of Differential Equations, Bolyai Institute)
38.	2015/05	Dynamics of a reinfection epidemic model and an application to a childhood disease (Short Thematic Program on Delay Differential Equations)
39.	2014/02	Age-structured epidemic model with infection during transportation (Szeged Dynamics Days)
40.	2013/09	幹細胞の成熟過程を記述する微分方程式モデル (第23回日本数理生物学会大会)
41.	2013/07	On the logistic equation with two discrete delays (International Conference on Delay Differential and Difference Equations and Applications)
42.	2013/05	Global analysis for spread of an infectious disease via human transportation (Encounters Between Discrete and Continuous Mathematics, Workshop on Dynamical Networks, Numerical Analysis and Ergodic Theor)
43.	2012/07	Compactness property for structured population models by Delay Equations (6th European Congress of Mathematics)
44.	2012/06	Global analysis for spread of an infectious disease via human transportation (BJMT Applied Mathematics Conference 2012)
45.	2011/12	An age structured model describing transitions between quiescent and proliferating cell populations (3rd Swedish Meeting on Mathematics in Biology)
46.	2011/11	Global dynamics of two compartment models for cell production systems with regulatory mechanisms (Interdisciplinary Conference, Modeling in Life Sciences 2011)
47.	2011/06	Analysis of a characteristic equation for a Delay Equation from cell population dynamics (8th European Conference on Mathematical and Theoretical Biology: Annual Meeting of The Society for Mathematical Biology)
48.	2010/10	Stability analysis of multi-compartment models for cell production systems (The 3rd China-Japan Colloquium of Mathematical Biology)
49.	2009/09	Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments (Workshop on Delay Differential Equations: from theory to applications)
50.	2008/09	Contractivity and global asymptotic stability for nonautonomous Lotka-Volterra ystems with piecewise constant arguments (Mathematical Models in Engineering, Biology and Medicine. International Conference on Boundary Value Problems)
51.	2008/08	Permanence for nonautonomous Lotka-Volterra cooperative systems with several deviating arguments (The 2nd China-Japan Mathematical Colloquim)