Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model

被引：3

作者：

Yan, Shuling ^{[1
]}

Lian, Xinze ^{[1
]}

Wang, Weiming ^{[1
]}

Wang, Youbin ^{[1
]}

机构：

[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷

关键词：

PREDATOR-PREY MODEL; LIMIT-CYCLES; II SCHEMES; DYNAMICS;

D O I：

10.1155/2013/170501

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions. Furthermore, we investigate the stability and direction of bifurcating periodic orbits by using normal form theorem and the center manifold theorem.

引用

页数：11

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