Note on the Persistence of a Nonautonomous Lotka-Volterra Competitive System with Infinite Delay and Feedback Controls

Chunling Shi, Yiqin Wang, Xiaoying Chen and Yuli Chen

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-9

Abstract:

We study a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls. We establish a series of criteria under which a part of -species of the systems is driven to extinction while the remaining part of the species is persistent. Particularly, as a special case, a series of new sufficient conditions on the persistence for all species of system are obtained. Several examples together with their numerical simulations show the feasibility of our main results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:682769

DOI: 10.1155/2014/682769

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