Bifurcation analysis in a predator-prey system with time delay

被引：92
|
作者：
Song, YL [1 ]
Yuan, SL
机构：
[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
[2] Shanghai Univ Sci & Technol, Dept Basic Sci, Shanghai 200093, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 02期
基金：
中国国家自然科学基金;
关键词：
predator-prey system; time delay; stability; Hopf bifurcation; periodic solutions;
D O I：
10.1016/j.nonrwa.2005.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a predator-prey system with a discrete delay and a distributed delay is investigated. We first consider the stability of the positive equilibrium and the existence of local Hopf bifurcations. In succession, using the normal form theory and center manifold argument, we derive the explicit formulas determining stability, direction and other properties of bifurcating periodic solutions. Finally, several numerical simulations for supporting the theoretical analysis are also given. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：265 / 284
页数：20
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