Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters

被引：0
|
作者：
Xu, Changjin [1 ]
机构：
[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Sch Math & Stat, Guiyang 550004, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
HOPF-BIFURCATION; STABILITY; SYSTEM;
D O I：
10.1155/2012/264870
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of stage-structured predator-prey model with time delay and delay-dependent parameters is considered. Its linear stability is investigated and Hopf bifurcation is demonstrated. Using normal form theory and center manifold theory, some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained. Finally, numerical simulations are performed to verify the analytical results.
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页数：20
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