Stability and Hopf bifurcation in a three-species system with feedback delays

被引：0
|
作者：
Xin-You Meng
Hai-Feng Huo
Xiao-Bing Zhang
Hong Xiang
机构：
[1] Lanzhou University of Technology,Department of Applied Mathematics
来源：
Nonlinear Dynamics | 2011年 / 64卷
关键词：
Stability; Hopf bifurcation; Feedback delays; Functional response;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A kind of three-species system with Holling type II functional response and feedback delays is introduced. By analyzing the associated characteristic equation, its local stability and the existence of Hopf bifurcation are obtained. We derive explicit formulas to determine the direction of the Hopf bifurcation and the stability of periodic solution bifurcated out by using the normal-form method and center manifold theorem. Numerical simulations confirm our theoretical findings.
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页码：349 / 364
页数：15
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