Convergence results in a well-known delayed predator-prey system

被引：117

作者：

Beretta, E ^{[1
]}

Kuang, Y ^{[1
]}

机构：

[1] ARIZONA STATE UNIV,DEPT MATH,TEMPE,AZ 85287

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 204卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jmaa.1996.0471

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a detailed and explicit procedure of obtaining some regions of attraction for the positive steady state (assumed to exist) of a well known Lotka-Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to be small. A detailed example is presented. The method used here is to construct a proper Liapunov functional in a restricted region. (C) 1996 Academic Press, Inc.

引用

页码：840 / 853

页数：14

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