Average growth and extinction in a competitive Lotka-Volterra system

被引：28

作者：

Ahmad, S ^{[1
]}

Lazer, AC

机构：

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

[2] Johannes Gutenberg Univ Mainz, Dept Math, Coral Gables, FL 33124 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 62卷 / 03期

关键词：

extinction; average growth; (I; J); condition; strongly persistent; growth rate; interaction coefficient;

D O I：

10.1016/j.na.2005.03.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we answer an earlier conjecture. Consider a class of nonautonomous competitive Lotka-Volterra systems. We show that certain inequalities involving the interaction coefficients and averages of the growth rates imply that the system is persistent. However, reversing one of these inequalities implies that the Nth species goes to extinction. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：545 / 557

页数：13

共 12 条

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