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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.issued2017-02-01
dc.identifier.citationZu, Li ; Jiang, Daqing ; O'Regan, Donal (2017). Persistence and stationary distribution of a stochastic predator-prey model under regime switching. Discrete and Continuous Dynamical Systems 37 (5), 2881-2897
dc.identifier.issn1078-0947
dc.identifier.urihttp://hdl.handle.net/10379/14542
dc.description.abstractTaking both white noise and colored environment noise into account, a predator-prey model is proposed. In this paper, our main aim is to study the stationary distribution of the solution and obtain the threshold between persistence in mean and the extinction of the stochastic system with regime switching. Some simulation figures are presented to support the analytical findings.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.relation.ispartofDiscrete and Continuous Dynamical Systems
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectstochastic predator-prey model
dc.subjectthreshold
dc.subjectmarkov switching
dc.subjectstationary distribution
dc.subjectextinction
dc.subjectasymptotic properties
dc.subjectdifferential equations
dc.subjectpopulation systems
dc.subjectlogistic model
dc.subjectsimulations
dc.subjectstability
dc.subjectexistence
dc.subjectbehavior
dc.titlePersistence and stationary distribution of a stochastic predator-prey model under regime switching
dc.typeArticle
dc.identifier.doi10.3934/dcds.2017124
dc.local.publishedsourcehttp://www.aimsciences.org/journals/doIpChk.jsp?paperID=13725&mode=full
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland