Permanence criteria in non-autonomous predator-prey Kolmogorov systems and its applications

被引：31

作者：

Teng, ZD ^{[1
]}

Li, ZM ^{[1
]}

Jiang, HJ ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2004年 / 19卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1080/14689360410001698851

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies the general non-autonomous predator-prey Kolmogorov systems. The general criteria of integrable form on the permanence and ultimate boundedness are established. As applications of these results, the sufficient conditions of integrable form on the permanence are obtained for nonautonomous Lotka-Volterra systems, Holling I-type functional response systems, Holling (m,n)-type functional response systems, Beddington-DeAngelis functional response systems, Leslie-Gower functional response systems and chemostat-type systems.

引用

页码：171 / 194

页数：24

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