Hopf bifurcation analysis for a delayed predator-prey system with diffusion effects

被引：55

作者：

Hu, Guang-Ping ^{[1
]}

Li, Wan-Tong ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 02期

关键词：

Time delay; Diffusion; Normal form; Hopf bifurcation; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; NORMAL FORMS; STABILITY; MODELS;

D O I：

10.1016/j.nonrwa.2009.01.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a delayed predator-prey diffusive system with Neumann boundary conditions. The bifurcation analysis of the model shows that Hopf bifurcation can occur by regarding the delay as the bifurcation parameter. In addition, the direction of Hopf bifurcation and the stability of bifurcated periodic solution are also discussed by employing the normal form theory and the center manifold reduction for partial functional differential equations (PFDEs). Finally, the effect of the diffusion on bifurcated periodic solution is considered. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：819 / 826

页数：8

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