Partial persistence and extinction in N-dimensional competitive systems

被引：30

作者：

Ahmad, S

Stamova, IM

机构：

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

[2] Bourgas Free Univ, Burgas 8000, Bulgaria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 05期

基金：

美国国家科学基金会;

关键词：

(I; J); conditions; total persistence; extinction; average; N-dimensional competitive system;

D O I：

10.1016/j.na.2004.04.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first consider an N-dimensional system slightly more general than the Lotka-Volterra system, and give conditions that imply strong persistence of all species. Using this result, we then give computable conditions on the coefficients which imply the ultimate extinction of certain species in an N-dimensional Lotka-Volterra System. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：821 / 836

页数：16

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