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

被引：115
|
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
收藏
页码：840 / 853
页数：14
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