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Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation

Zu, Li
; 
Jiang, Daqing
; 
O’Regan, Donal
Repository DOI
Publication Date
2014-01-01
Keywords
nonautonomous logistic equation, global stability, persistence, dynamics, model
Type
Article
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Citation
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 ,
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.
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Publisher
Hindawi Limited
Publisher DOI
10.1155/2014/320460
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)