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On Nonautonomous Prey predator Patchy System
Authors:Ruan Xiaoe
Abstract:In this paper, the nonautonomous prey predator patchy system is considered for which the prey species disperses between two patches of heterogeneous environment and its refuge while the predator species is confined to the heterogeneous environment. Conditions are established for the permanence of the system, extinction of predator species, existence and stability of periodic solutions with respect to the corresponding periodic system.
Keywords:Permanence  Periodic Solution  Diffusion  Asymptotically Stable
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