Stochastic Permanence, Stationary Distribution and Extinction of a Single‐Species Nonlinear Diffusion System with Random Perturbation

Li Zu, Daqing Jiang and Donal O’Regan

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We analyze the influence of stochastic perturbations on a single‐species logistic model with the population’s nonlinear diffusion among n patches. First, we show that this system has a unique positive solution. Then we obtain sufficient conditions for stochastic permanence and persistence in mean, stationary distribution, and extinction. Finally, we illustrate our conclusions through numerical simulation.

Date: 2014
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https://doi.org/10.1155/2014/320460

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:320460

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