The Permanence and Extinction of a Discrete Predator-Prey System with Time Delay and Feedback Controls

Advances in Difference Equations

Qiuying Li¹  Fengqin Zhang¹  Hanwu Liu¹ 

[1] Department of Mathematics, Yuncheng University, Yuncheng, China

关键词: Periodic Solution;    Feedback Control;    Comparison Theorem;    Nonnegative Solution;    Discrete Time Model;   

DOI  :  10.1155/2010/738306

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A discrete predator-prey system with time delay and feedback controls is studied. Sufficient conditions which guarantee the predator and the prey to be permanent are obtained. Moreover, under some suitable conditions, we show that the predator species y will be driven to extinction. The results indicate that one can choose suitable controls to make the species coexistence in a long term.

【 授权许可】

CC BY