Stability and bifurcations in a nonlocal delayed reaction-diffusion population model

被引：51

作者：

Chen, Shanshan ^{[1
,2
]}

Yu, Jianshe ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Reaction diffusion equation; Nonlocal delay; Hopf bifurcation; Stability; TRAVELING-WAVE FRONTS; HOPF-BIFURCATION; ASYMPTOTIC-BEHAVIOR; EQUATIONS; DYNAMICS; SYSTEMS;

D O I：

10.1016/j.jde.2015.08.038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonlocal delayed reaction diffusion equation with Dirichlet boundary condition is considered in this paper. It is shown that a positive spatially nonhomogeneous equilibrium bifurcates from the trivial equilibrium. The stability/instability of the bifurcated positive equilibrium and associated Hopf bifurcation are investigated, providing us with a complete picture of the dynamics. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：218 / 240

页数：23

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