Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system

被引：15
|
作者：
Saito, Y
Hara, T
Ma, WB
机构：
[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan
[2] Shizuoka Univ, Fac Engn, Dept Syst Engn, Hamamatsu, Shizuoka 432, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 05期
关键词：
Lotka-Volterra; difference equation; delay; predator-prey; permanence; persistence;
D O I：
10.1016/S0362-546X(01)00778-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lotka-Voltera discrete predator-prey system with a finite number of delays was considered. The sufficient conditions for the permanence and impersistence for all delays in Lotka-Volterra discrete predator-prey system were given. Results showed that the system was permanent for all non-negative integers and also system was permanent at only positive equilibrium.
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页码：703 / 715
页数：13
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