Extinction in nonautonomous T-periodic competitive Lotka-Volterra system

被引：35

作者：

Ahmad, S ^{[1
]}

de Oca, FM

机构：

[1] Univ Texas, Div Math & Stat, San Antonio, TX 78249 USA

[2] Univ Centroccidental Lisandro Alvarado, Dept Matemat Decanato Ciencias, Edo Lara, Venezuela

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1998年 / 90卷 / 2-3期

关键词：

D O I：

10.1016/S0096-3003(97)00396-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonautonomous T-periodic competitive Lotka-Volterra system of n species is considered. It is shown that if the coefficients are T-periodic, continuous and satisfy certain inequalities, then any solution with strictly positive initial conditions has the property that all but one of its components vanish while the remaining component approaches the canonical solution of a certain logistic differential equation. (C) Elsevier Science Inc., 1998.

引用

页码：155 / 166

页数：12

共 4 条

[1] ON THE NONAUTONOMOUS VOLTERRA-LOTKA COMPETITION EQUATIONS [J].