Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation
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2014-01-01Author
Zu, Li
Jiang, Daqing
O’Regan, Donal
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Zu, Li; Jiang, Daqing; O’Regan, Donal (2014). Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation. Abstract and Applied Analysis ,
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Abstract
We analyze the influence of stochastic perturbations on a single-species logistic model with the population's nonlinear diffusion among.. 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.