Existence, Stationary Distribution, and Extinction of Predator-Prey System of Prey Dispersal with Stochastic Perturbation

Li Zu, Daqing Jiang and Fuquan Jiang

Abstract and Applied Analysis, 2012, vol. 2012, 1-24

Abstract:

We consider a predator-prey model in which the preys disperse among patches ( ) with stochastic perturbation. We show that there is a unique positive solution and find out the sufficient conditions for the extinction to the system with any given positive initial value. In addition, we investigate that there exists a stationary distribution for the system and it has ergodic property. Finally, we illustrate the dynamic behavior of the system with via numerical simulation.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:547152

DOI: 10.1155/2012/547152

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