Nakamura Toshiko

Affiliation and department：
Job title：教授

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

Research keywords (5)：比較定理 , 反応拡散方程式 , 順序保存力学系 , 応用解析学 , Applied Analysis

Research theme for competitive and other funds (12)：

2022 - 2025 比較定理を基軸に展開する生態系ネットワーク上の生物種の侵入・停留の数学解析
2021 - 2024 メタ群集モデルの数理解析・数値解析による生物種の侵入制御可能性の探究
2018 - 2023 個体群動態モデルに現れる界面ダイナミクスの数理解析・数値解析
2015 - 2019 Mathematical and numerical analysis for step dynamics on crystal surfaces
2012 - 2015 Mathematical analysis of interfacial dynamics in non-periodic environments and its applications

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Papers (17)：

Yoshihisa Morita, Ken-Ichi Nakamura, Toshiko Ogiwara. Front propagation and blocking for the competition-diffusion system in a domain of half-lines with a junction. Discrete and Continuous Dynamical Systems - B. 2022
Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara, Chin-Chin Wu. Traveling wave solutions for a predator-prey system with two predators and one prey. Nonlinear Analysis: Real World Applications. 2020. 54. 103111-103111
Toshiko Ogiwara, Danielle Hilhorst, Hiroshi Matano. Convergence and structure theorems for order-preserving dynamical systems with mass conservation. Discrete & Continuous Dynamical Systems - A. 2020. 40. 6. 3883-3907
Takahiro Ito, Toshiko Ogiwara, Hiroyuki Usami. Asymptotic properties of solutions of a Lanchester-type model. Differential Equations & Applications. 2020. 12. 1. 1-12
Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara, Chang-Hong Wu. The sign of traveling wave speed in bistable dynamics. Discrete & Continuous Dynamical Systems - A. 2020. 40. 6. 3451-3466

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MISC (22)：

桑山優希, 荻原俊子. 時間に依存した係数を持つDeitchmanモデルの解の挙動について. 2018年度応用数学合同研究集会報告集. 2018. 講演番号A51
伊藤貴啓, 荻原俊子. 時間に依存した係数を持つあるランチェスタ型モデルの解の漸近挙動. 2015年度応用数学合同研究集会報告集. 2015. 講演番号A025
OGIWARA Toshiko. Convergence results in order-preserving dynamical systems and applications to a molecular motor system. RIMS講究録. 2014. 1881. 43-56
荻原俊子. 多安定型反応拡散方程式におけるフロントの相互作用. Partial Differential Equations and Phenomena in Miyazaki 2009 報告集. 2010. 50-57
田中実鈴, 荻原俊子, 大出真理. 周期関数を非線形項に持つ反応拡散方程式の解の漸近挙動. 2006年度応用数学合同研究集会報告集. 2006. 197-198

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Lectures and oral presentations (44)：

戦闘モデルに関連した非自励的2 種競争系の解の挙動
(非線形現象の数理解析 2019)
Asymptotic behavior of solutions for nonautonomous Lanchester type systems
(NCTS 2019 Workshop on Applied Mathematics in Taichung 2019)
時間に依存した係数を持つDeitchmanモデルの解の挙動について
(応用数学合同研究集会 2018)
On the behavior of solutions for Lanchester square-law models with time-dependent coefficients
(芝浦工業大学における微分方程式セミナー 2018)
On the behavior of solutions for Lanchester square-law models with time-dependent coefficients
(2017)

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Education (6)：

- 1996 The University of Tokyo
- 1996 University of Tokyo Graduate School of Mathematical Sciences Mathematical Science
- 1993 Ochanomizu University
- 1993 Ochanomizu University Graduate School of Science Mathematics
- 1991 Ochanomizu University Faculty of Science

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Professional career (1)：

Work history (10)：

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Association Membership(s) (3)：

THE JAPANESE SOCIETY FOR MATHEMATICAL BIOLOGY , THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS , 日本数学会

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