Average growth and total permanence in a competitive Lotka-Volterra System

被引：22

作者：

Ahmad, Shair ^{[1
]}

Lazer, Alan C.

机构：

[1] Univ Texas, Dept Math Sci, San Antonio, TX 78249 USA

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

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2006年 / 185卷 / Suppl 5期

关键词：

strongly permanent; strongly persistent; totally permanent; growth rate; interaction coefficients; exponential decay;

D O I：

10.1007/s10231-004-0136-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of non-autonomous competitive Lotka-Volterra Systems. Such a system is called strongly permanent if small perturbations of the system are permanent. We define such a system to be totally permanent if the system as well as its subsystems are strongly permanent. When the growth rates have averages and the interaction coefficients are non-negative constants, we give a computable necessary and sufficient condition for the system to be totally permanent.

引用

页码：S47 / S67

页数：21

共 18 条

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