Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect

被引：103
|
作者：
Guo, Shangjiang [1 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 04期
关键词：
Reaction-diffusion; Nonlocal delay effect; Hopf bifurcation; Stability; HOPF-BIFURCATION; POPULATION-MODEL; DISTRIBUTED DELAY; TRAVELING-WAVES; EQUATION; SYSTEM;
D O I：
10.1016/j.jde.2015.03.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the existence, stability, and multiplicity of spatially nonhomogeneous steady-state solution and periodic solutions for a reaction-diffusion model with nonlocal delay effect and Dirichlet boundary condition are investigated by using Lyapunov-Schmidt reduction. Moreover, we illustrate our general results by applications to models with a single delay and one-dimensional spatial domain. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：1409 / 1448
页数：40
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