Elucidation of phenomena in the higher dimensional domain applying the reduced system and construction of the mathematical method

应用简化系统和数学方法的构建来阐明高维域中的现象

• 批准号: 26400173
• 负责人: Tsujikawa Tohru
• 金额: $ 2.5万
• 依托单位: University of Miyazaki
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2014
• 资助国家: 日本
• 起止时间: 2014-04-01 至 2018-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26400173/
• 关键词: differential equation; bifurcation method; singular perturbation; 微分方程式; 分岐理論; 反応拡散方程式; 特異摂動論; bifurcation; reaction diffusion; statiionary solution; stability; stationary solution

项目成果

Bifurcation structure of steady states for a bistable equation with nonlocal constraint

非局部约束双稳态方程稳态分叉结构

• 发表时间: 2015
• 作者: ３．Tohru Tsujikawa;Kousuke Kuto;Yasuhito Miyamoto and Hirofumi Izuhara;Kousuke Kuto and Tohru Tsujikawa;Ｔｏｈｒｕ Ｔｓｕｊｉｋａｗａ
• 通讯作者: Ｔｏｈｒｕ Ｔｓｕｊｉｋａｗａ

Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization

细胞极化反应扩散模型中的全局分岔表和波钉扎图

• DOI: 10.3934/proc.2015.0861
• 发表时间: 2015
• 期刊: Discrete and Continuous Dynamical Systems
• 影响因子: 1.1
• 作者: Tatsuki Mori;Kousuke Kuto;Masaharu Nagayama;Tohru Tsujikawa and Shoji Yotsutani
• 通讯作者: Tohru Tsujikawa and Shoji Yotsutani

Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection

• DOI: 10.1016/j.jde.2014.11.016
• 发表时间: 2015-03
• 期刊: Journal of Differential Equations
• 影响因子: 2.4
• 作者: Kousuke Kuto;T. Tsujikawa

Stationary solutions for some shadow system of the Keller-Segel model with logistic growth

• DOI: 10.3934/dcdss.2015.8.1023
• 发表时间: 2015-07
• 期刊: Discrete and Continuous Dynamical Systems - Series S
• 作者: T. Tsujikawa;Kousuke Kuto;Yasuhito Miyamoto;H. Izuhara