PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS

doi:10.1016/S0252-9602(06)60026-X

数学物理学报(英文版)

PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS

刘少平; 廖晓昕

华中科技大学数学系, 武汉 430074

收稿日期:2003-05-09 修回日期:2004-06-19 出版日期:2006-01-20 发布日期:2006-01-20
通讯作者: 刘少平

PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS

Liu Shaoping; Liao Xiaoxin

Department of Mathematics, Huazhong University of Science and Technology,
Wuhan 430074, China

Received:2003-05-09 Revised:2004-06-19 Online:2006-01-20 Published:2006-01-20
Contact: Liu Shaoping

摘要/Abstract

摘要：

In this article, the permanence and persistence for three classes
time varying Lotka-Volterra ecological system are investigated by
using Lyapunov stability analysis and constructing the compact set
of attraction. Some examples are given to illustrate the theorems.

关键词: Permanence persistence, Lyapunov stability

Abstract:

Key words: Permanence persistence, Lyapunov stability

中图分类号:

34D20

刘少平; 廖晓昕. PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS[J]. 数学物理学报(英文版), 2006, 26(1): 49-58.

Liu Shaoping; Liao Xiaoxin. PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS[J]. Acta mathematica scientia,Series B, 2006, 26(1): 49-58.

PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS

PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS

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