Stability and bifurcation analysis of a diffusive prey predator system in Holling type III with a prey refuge

被引：35

作者：

Yang, Ruizhi ^{[1
]}

Wei, Junjie ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin, Heilongjiang, Peoples R China

来源：

NONLINEAR DYNAMICS | 2015年 / 79卷 / 01期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

Hopf bifurcation; Diffusive prey-predator system; Holling III functional response; Refuge; GLOBAL STABILITY; MODEL; DYNAMICS; DISPERSAL; DELAY;

D O I：

10.1007/s11071-014-1691-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A diffusive prey predator system with Holling type III response function incorporating a prey refuge subject to Neumann boundary conditions is considered. The sufficient conditions are given to ensure that the equilibria are local and global asymptotically stable, respectively. And the existence of Hopf bifurcation at the positive equilibrium is obtained by regarding prey refuge as parameter. By the theory of normal form and center manifold, a algorithm for determining the direction and stability of Hopf bifurcation is derived. Some numerical simulations are carried out for illustrating the analytic results.

引用

页码：631 / 646

页数：16

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