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

被引：4

作者：

Cai, Liming ^{[1
,2
]}

Li, Xuezhi ^{[1
]}

Yu, Jingyuan ^{[2
]}

Zhu, Guangtian ^{[3
]}

机构：

[1] Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China

[2] Beijing Inst Informat Control, Beijing 100037, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 04期

关键词：

LOTKA-VOLTERRA MODEL; PERIODIC-SOLUTIONS; DIFFUSION; STABILITY; BIFURCATION; PARASITES;

D O I：

10.1016/j.chaos.2007.09.082

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonautonomous predator-prey dispersion-delay model with Beddington-DeAngelis functional response is investigated. It is proved that the general nonautonomous system is permanent and globally asymptotically stable under appropriate conditions. Furthermore, if the system is a(n) (almost) periodic one, a set of easily verifiable sufficient conditions are established, which guarantee the existence, uniqueness and global asymptotic stability of a positive (almost) periodic solution of the system. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2064 / 2075

页数：12

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