Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response

被引：11
|
作者：
Lin, Guojian [1 ]
Hong, Yiguang [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
stability; Hopf bifurcation; distributed delay; predator-prey system; normal form; center manifold theorem;
D O I：
10.1016/j.amc.2007.02.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Beddington-DeAngelis predator-prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean,delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numerical simulations are also given to illustrate the results. (c) 2007 Elsevier Inc. All rights reserved.
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页码：1296 / 1311
页数：16
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