Acta mathematica scientia, Series B >
PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS
Received date: 2003-05-09
Revised date: 2004-06-19
Online published: 2006-01-20
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
Liu Shaoping , Liao Xiaoxin . PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS[J]. Acta mathematica scientia, Series B, 2006 , 26(1) : 49 -58 . DOI: 10.1016/S0252-9602(06)60026-X
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