BIFURCATION ANALYSIS FOR A PREDATOR-PREY SYSTEM WITH PREY DISPERSAL AND TIME DELAY

被引：5

作者：

Gan, Qintao ^{[1
]}

Xu, Rui ^{[1
,2
]}

Yang, Pinghua ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Hebei Province, Peoples R China

[2] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2008年 / 1卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hopf bifurcation; periodic solution; dispersal; stability;

D O I：

10.1142/S1793524508000175

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a predator-prey model with prey dispersal and time delay is investigated. By analyzing the corresponding characteristic equation of a positive equilibrium, the local stability of the positive equilibrium and the existence of Hopf bifurcation are discussed. By using the normal form theory and center manifold reduction, explicit formulae are derived to determine the stability, direction and other properties of bifurcating periodic solutions. Numerical simulations are given to illustrate the theoretical predictions.

引用

页码：209 / 224

页数：16

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