Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay

被引：26

作者：

Chen Yuanyuan ^{[1
]}

Song Changming ^{[1
]}

机构：

[1] Zhongyuan Univ Technol, Dept Math, Zhengzhou 450007, Henan Province, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 38卷 / 04期

关键词：

D O I：

10.1016/j.chaos.2007.01.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A delay-differential modelling with stage-structure for prey is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation. The stability and direction of Hopf bifurcation are determined by applying the normal form theory and the center manifold argument, and numerical simulations are given to illustrate the analytical result. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1104 / 1114

页数：11

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