Robustness and global behavior of 3-dimensional Lotka-Volterra equations

被引：0

作者：

Uno, T ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 02期

关键词：

competitive system; heteroclinic cycle; limit cycle; Lotka-Volterra equation; permanence; robustness;

D O I：

10.1016/S0362-546X(01)00267-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the behavior of orbits of the three-dimensional Lotka-Volterra equation. First we deal with the perturbation of the equation which can be projected onto the sphere. Next we discuss the equation whose interior equilibrium point is unstable. We also give the existence of positive invariant set of the equation.

引用

页码：1309 / 1320

页数：12

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