Permanence in delayed ratio-dependent predator-prey models with monotonic functional responses

被引：30

作者：

Fan, Yong-Hong

Li, Wan-Tong ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 02期

基金：

中国国家自然科学基金;

关键词：

predator-prey model; ratio-dependent; monotonic response functional; permanence;

D O I：

10.1016/j.nonrwa.2005.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, sufficient conditions for permanence of the general delayed ratio-dependent predator-prey model [GRAPHICS] are obtained when functional response g is monotonic, where a(t), b(t), c(t), d(t) and e(t) are all positive periodic continuous functions with period omega > 0, tau is a positive constant. We find that the conditions on existence of a positive periodic solution imply the permanence of the above system. As applications, some examples are given. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：424 / 434

页数：11

共 20 条

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[Anonymous], J MATH ANAL APPL

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