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

页码：1409 / 1448

页数：40

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