Stability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffusion

被引：48

作者：

Wang, Mingxin ^{[1
,2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES | 2008年 / 212卷 / 02期

关键词：

prey predator model; stage structure; diffusion; stability; Hopf bifurcation;

D O I：

10.1016/j.mbs.2007.08.008

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann boundary conditions; (2) Hopf bifurcation for the ODE system; (3) Hopf bifurcation created by diffusion. (c) 2008 Published by Elsevier Inc.

引用

页码：149 / 160

页数：12

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