Feedback control effect on the Lotka-Volterra prey-predator system with discrete delays

被引：8

作者：

Shi, Chunling ^{[1
]}

Chen, Xiaoying ^{[1
]}

Wang, Yiqin ^{[2
]}

机构：

[1] Fuzhou Univ, Coll Zhicheng, Fuzhou 350002, Fujian, Peoples R China

[2] Fuzhou Fujian Inst Educ, Dept Sci Res, Fuzhou 350001, Fujian, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

Lotka-Volterra system; discrete delays; global stability; extinction; feedback controls; GLOBAL STABILITY; COMPETITIVE SYSTEM; PERIODIC-SOLUTION; PERMANENCE; MODEL; EXTINCTION; ATTRACTIVITY; PERSISTENCE; BEHAVIOR;

D O I：

10.1186/s13662-017-1410-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a Lotka-Volterra prey-predator system with feedback control. We establish sufficient conditions under which a unique positive equilibrium is globally stable. Further, we show that a suitable feedback control on predator species can make prey species that is on the brink of extinction become globally stable, but under the conditions of small feedback control on predator, the prey species still extinct, whereas the predator species is stable at certain values. Several examples are presented to show the feasibility of the main results.

引用

页数：13

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