Stability and Hopf bifurcation analysis in a three-level food chain system with delay

被引：55
|
作者：
Chen, Yuanyuan [1 ]
Yu, Jiang [1 ]
Sun, Chengjun [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 31卷 / 03期
关键词：
D O I：
10.1016/j.chaos.2005.10.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A class of three level food chain system is studied. With the theory of delay equations and Hopf bifurcation, the conditions of the positive equilibrium undergoing Hopf bifurcation is given regarding tau as the parameter. The stability and direction of Hopf bifurcation are determined by applying the normal form theory and the center manifold argument, and numerical simulations are performed to illustrate the analytical results. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：683 / 694
页数：12
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