Acta mathematica scientia,Series B

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PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS

Liu Shaoping; Liao Xiaoxin   

  1. 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

Abstract:

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.

Key words: Permanence persistence, Lyapunov stability

CLC Number: 

  • 34D20
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