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

dc.contributor.authorZu, Li
dc.contributor.authorJiang, Daqing
dc.contributor.authorO’Regan, Donal
dc.date.accessioned2018-09-20T16:29:08Z
dc.date.available2018-09-20T16:29:08Z
dc.date.issued2014-01-01
dc.identifier.citationZu, 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 ,
dc.identifier.issn1085-3375,1687-0409
dc.identifier.urihttp://hdl.handle.net/10379/14541
dc.description.abstractWe 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.
dc.publisherHindawi Limited
dc.relation.ispartofAbstract and Applied Analysis
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectnonautonomous logistic equation
dc.subjectglobal stability
dc.subjectpersistence
dc.subjectdynamics
dc.subjectmodel
dc.titleStochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation
dc.typeArticle
dc.identifier.doi10.1155/2014/320460
dc.local.publishedsourcehttp://doi.org/10.1155/2014/320460
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland