QUASI-PERIODIC SOLUTIONS OF THE LOTKA-VOLTERRA COMPETITION SYSTEMS WITH QUASI-PERIODIC PERTURBATIONS

被引：2

作者：

Liu, Qihuai ^{[1
,2
]}

Qian, Dingbian ^{[1
]}

Wang, Zhiguo ^{[1
]}

机构：

[1] Suzhou Univ, Sch Math Sci, Suzhou 215006, Peoples R China

[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 514004, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2012年 / 17卷 / 05期

关键词：

Lotka-Volterra competition system; quasi-periodic solution; KAM iteration; small denominator; PREDATOR-PREY SYSTEM; GLOBAL ATTRACTIVITY; DYNAMICS; EQUATION;

D O I：

10.3934/dcdsb.2012.17.1537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of positive quasi-periodic solutions for the Lotka-Volterra competition systems with quasi-periodic coefficients by KAM technique. The result shows that, in most case, quasi-periodic solutions exist for sufficiently small quasi-periodic perturbations of the autonomous Lotka-Volterra systems. Moreover, these quasi-periodic solutions will tend to an equilibrium of the autonomous Lotka-Volterra systems.

引用

页码：1537 / 1550

页数：14

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