Global Attractivity and Extinction of a Discrete Competitive System with Infinite Delays and Single Feedback Control

被引：10

作者：

Xue, Yalong ^{[1
]}

Xie, Xiangdong ^{[1
]}

Lin, Qifa ^{[1
]}

Chen, Fengde ^{[2
]}

机构：

[1] Ningde Normal Univ, Coll Math & Phys, Ningde 352100, Fujian, Peoples R China

[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2018年 / 2018卷

关键词：

PERMANENCE; MODEL; STABILITY;

D O I：

10.1155/2018/1893181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonautonomous discrete two-species competition system with infinite delays and single feedback control is considered in this paper. Based on the discrete comparison theorem, a set of sufficient conditions which guarantee the permanence of the system is obtained. Then, by constructing some suitable discrete Lyapunov functionals, some sufficient conditions for the global attractivity and extinction of the system are obtained. It is shown that, by choosing some suitable feedback control variable, one of two species will be driven to extinction.

引用

页数：14

共 20 条

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