Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response

被引：157
|
作者：
Fan, M
Kuang, Y [1 ]
机构：
[1] Arizona State Univ, Dept Math & Stat, Tempe, AZ 85287 USA
[2] NE Normal Univ, Educ Minist, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[3] NE Normal Univ, Educ Minist, Key Lab Vegetat Ecol, Changchun 130024, Jilin, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 295卷 / 01期
基金：
美国国家科学基金会;
关键词：
Beddington-DeAngelis predator-prey system; permanence; extinction; periodic solution; almost periodic solution;
D O I：
10.1016/j.jmaa.2004.02.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we systematically study the dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (almost periodic) case. The paper ends with some interesting numerical simulations that complement our analytical findings. (C) 2004 Elsevier Inc. All rights reserved.
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页码：15 / 39
页数：25
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