Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System

Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System

Zhou, Zheyan;
discrete dynamics in nature and society 2011 Vol. 2011 pp. -
293
zhou2011globaldiscrete

Abstract

We propose a discrete multispecies cooperation and competition predator-prey systems. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained.

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Ref Key: zhou2011globaldiscrete
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