Hopf bifurcation in a partial dependent predator-prey system with delay

被引：8
|
作者：
Zhao, Huitao [1 ,2 ]
Lin, Yiping [1 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Appl Math, Kunming 650093, Yunnan, Peoples R China
[2] Zhoukou Normal Univ, Dept Math & Informat Sci, Zhoukou 466001, Henan, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 02期
基金：
中国国家自然科学基金;
关键词：
COMPETITION SYSTEM; STABILITY;
D O I：
10.1016/j.chaos.2009.02.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a partial dependent predator-prey model with time delay is studied by using the theory of functional differential equation and Hassard's method, the condition on which positive equilibrium exists and Hopf bifurcation occurs are given. Finally, numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：896 / 900
页数：5
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