Nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates

被引：7
|
作者：
Wei, JC [1 ]
Winter, M
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[2] Univ Stuttgart, Math Inst, D-70511 Stuttgart, Germany
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 06期
关键词：
nonlocal eigenvalue problem; stability; spike solution; reaction-diffusion systems;
D O I：
10.1142/S0218127403007369
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle of Eigen and Schuster, angiogenesis, and the generalized Gierer-Meinhardt system. We give some sufficient and explicit conditions for stability by studying the corresponding nonlocal eigenvalue problem in a new range of parameters.
引用
收藏
页码：1529 / 1543
页数：15
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