ON CRITERIA FOR GLOBAL STABILITY OF N-DIMENSIONAL LOTKA-VOLTERRA SYSTEMS

被引：0

作者：

刘海英

罗吉贵

赵晓华

机构：

[1] Kunming 650091

[2] Dept. of Math.

[3] Yunnan University

来源：

Annals of Applied Mathematics | 2003年 / 03期

关键词：

global stability; Lotka-Volterra system;

D O I：

暂无

中图分类号：

O175.13 [稳定性理论];

学科分类号：

070104 ;

摘要：

This paper gives the conditions for the existence of a globally stable equi-librium of rz-dimensional Lotka-Volterra systems in the following cases: Lotka-Volterra chain systems and Lotka-Volterra modei between one and multispecies. The conditions obtained in this paper are much weaker than those in [6] and more easily verifiable in application. So the results can be applied to more general Lotka-Volterra models. At the same time, the existence and stability conditions of positive equilibrium points of the above systems are given.

引用

页码：343 / 351

页数：9

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