Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay

被引：2
|
作者：
Zhang, Jianming [1 ]
Zhang, Lijun [1 ,2 ]
Khalique, Chaudry Masood [2 ]
机构：
[1] Zhejiang Sci Tech Univ, Sch Sci, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
[2] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
PREDATOR-PREY SYSTEM; FUNCTIONAL-RESPONSE;
D O I：
10.1155/2014/539684
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamics of a prey-predator system with a finite delay is investigated. We show that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases. By using the theory of normal form and center manifold, explicit expressions for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived.
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页数：7
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