Permanence and extinction of a three-species ratio-dependent food chain model with delay and prey diffusion

被引：7

作者：

Shen, Chunxia ^{[1
]}

You, Minsheng ^{[1
]}

机构：

[1] Fujian Agr & Forestry Univ, Inst Appl Ecol, Fuzhou 350002, Fujian, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Predator-prey system; Ratio-dependent; Dispersal; Permanence; Extinction; FEEDBACK CONTROLS; PERIODIC-SOLUTION; GLOBAL STABILITY; PREDATOR; SYSTEM; DYNAMICS; BIFURCATION; BEHAVIOR;

D O I：

10.1016/j.amc.2010.02.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a diffusive three-species ratio-dependent food chain model, using differential inequality, to obtain sufficient conditions that ensure the permanence of the system and the extinction of predator species. Our results reinforce the main result of Sun Wen, Shihua Chen and Huihai Mei [Positive periodic solution of a more realistic three-species Lotka-Volterra model with delay and density regulation, Chaos, Solitons and Fractals, in press]. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1825 / 1830

页数：6

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