PERMANENCE IN NONAUTONOMOUS DISCRETE LOTKA-VOLTERRA n-SPECIES COMPETITIVE SYSTEMS WITH PURE-DELAYS AND FEEDBACK CONTROLS

被引：4

作者：

Muhammadhaji, Ahmadjan ^{[1
]}

Teng, Zhidong ^{[1
]}

Nie, Linfei ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2013年 / 24卷 / 07期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Nonautonomous discrete system; Lotka-Volterra competitive system; permanence; feedback control; pure-delay; GLOBAL ATTRACTIVITY; POPULATION-MODEL; PERSISTENCE; STABILITY; SUFFICIENT; EQUATIONS;

D O I：

10.1142/S0129167X13500535

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper discusses nonautonomous discrete Lotka-Volterra type n-species competitive systems with pure-delays and feedback controls. New sufficient conditions for which a part of the n-species remains permanent and others is driven to extinction are established by using the method of multiple discrete Lyapunov functionals and introducing new analysis technique. Our results show that the feedback controls cannot influence the permanence of species.

引用

页数：17

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