Extinction in a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls

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• 作者：Chunling Shi^a ; ^{clshi000@sohu.com} ; Zhong Li^b ; ^{lizhong04108@163.com} ; Fengde Chen^b ; ^{fdchen@263.net} ; ^{fdchen@fzu.edu.cn}
• 关键词：Nonautonomous Lotka&ndash ; Volterra system ; Extinction ; Competitive ; Infinite delay ; Feedback control
• 刊名：Nonlinear Analysis ; Real World Applications
• 出版年：2012
• 期刊代码：44_14681218
• 类别：mt
• 出版时间：October, 2012
• 卷：13
• 期：5
• 页码：2214-2226
• 文件大小：287 K

摘要

In this paper, we propose a Lotka-Volterra competitive system with infinite delay and feedback controls. By using the method of multiple Lyapunov functionals and by developing a new analysis technique, we establish the sufficient conditions which guarantee that some of the species are driven to extinction. Two examples together with their numerical simulations show the feasibility of our main results and the considerable effects of feedback controls on the extinction of species.