Global stability of a stage-structured predator-prey system

被引：34

作者：

Chen, Fengde ^{[1
]}

Wang, Haina ^{[1
]}

Lin, Yuhua ^{[1
]}

Chen, Wanlin ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 223卷

关键词：

Predator; Prey; Stage structure; Delay; Permanence; Global stability; FUNCTIONAL-RESPONSE; PERMANENCE; MODEL; EXTINCTION; DELAY;

D O I：

10.1016/j.amc.2013.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An autonomous stage-structured predator-prey system (stage structure for both predator and prey) with discrete delay is studied in this paper. By using an iterative method, the global stability of the interior equilibrium point of the system is investigated. Our result shows that conditions which ensure the permanence of the system are enough to ensure the global stability of the system. The result not only improves but also complements some existing ones. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：45 / 53

页数：9

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