PERMANENCE AND GLOBAL ATTRACTIVITY FOR DISCRETE NONAUTONOMOUS TWO-SPECIES LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND FEEDBACK CONTROLS

被引：14

作者：

Xu, Jiabo ^{[1
]}

Teng, Zhidong ^{[1
]}

Jiang, Haijun ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

PERIODICA MATHEMATICA HUNGARICA | 2011年 / 63卷 / 01期

关键词：

discrete Lotka-Volterra system; feedback controls; delay; permanence; attractivity; discrete Lyapunov functional; PREDATOR-PREY SYSTEM; DIFFERENCE-EQUATIONS; PERIODIC-SOLUTIONS; MUTUAL EXCLUSION; WEAK EXTINCTION; PERSISTENCE; MODEL; STABILITY; PROBABILITIES;

D O I：

10.1007/s10998-011-7019-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls is proposed and investigated. By using the method of discrete Lyapunov functionals, new sufficient conditions on the permanence of species and global attractivity of the system are established. Particularly, an interesting fact is found in our results, that is, the feedback controls are harmless to the permanence of species for the considered system.

引用

页码：19 / 45

页数：27

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