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
收藏
页码：424 / 434
页数：11
相关论文
共 20 条
12