Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system

被引：95

作者：

Ahmad, S ^{[1
]}

Lazer, AC

机构：

[1] Univ Texas, Div Math & Stat, San Antonio, TX 78349 USA

[2] Univ Miami, Dept Math & Comp Sci, Coral Gables, FL 33124 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 40卷 / 1-8期

关键词：

competing species; upper average; lower average; periodic; almost-periodic; Perron-Frobenius theorem;

D O I：

10.1016/S0362-546X(00)85003-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system of differential equation referred to as a nonautonomous Lotka-Volterra (LV) system is considered. It is shown that the additional column-diagonal-dominance type conditions will hold under weaker conditions than the almost-periodic case conditions. The upper and lower averages of a function which is continuous and bounded are defined in order to describe these conditions.

引用

页码：37 / 49

页数：13

共 6 条

[1] Necessary and sufficient average growth in a Lotka-Volterra system [J].