On a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response and diffusion

被引：22
|
作者：
Chen, Fengde [1 ]
Shi, Jinlin [1 ]
机构：
[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 192卷 / 02期
基金：
中国国家自然科学基金;
关键词：
nonautonomous; diffusion; delay; predator-prey; permanence; Holling type functional response;
D O I：
10.1016/j.amc.2007.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A two-species periodic ratio-dependent predator-prey model with Holling type functional response and diffusion is investigated. Three different sets of sufficient conditions (one set is diffusive independent and the other two sets are diffusive dependent) which ensure the permanence of the system and a set of sufficient condition which ensure the extinction of the predator species are obtained. Examples together with their numeric simulations show the feasibility of the main results. (C) 2007 Elsevier Inc. All rights reserved.
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页码：358 / 369
页数：12
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