Environmental versus demographic variability in stochastic predator prey models

dc.contributor.authorDobramysl, U.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2016-09-30T13:22:36Zen
dc.date.available2016-09-30T13:22:36Zen
dc.date.issued2013-10-01en
dc.description.abstractIn contrast to the neutral population cycles of the deterministic mean-field Lotka–Volterra rate equations, including spatial structure and stochastic noise in models for predator-prey interactions yields complex spatio-temporal structures associated with long-lived erratic population oscillations. Environmental variability in the form of quenched spatial randomness in the predation rates results in more localized activity patches. Population fluctuations in rare favorable regions in turn cause a remarkable increase in the asymptotic densities of both predators and prey [1]. Very intriguing features are found when variable interaction rates are affixed to individual particles rather than lattice sites. Stochastic dynamics with demographic variability in conjunction with inheritable predation efficiencies generate non-trivial time evolution for the predation rate distributions, yet with overall essentially neutral optimization [2].en
dc.description.versionPublished versionen
dc.format.extent26 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1088/1742-5468/2013/10/P10001en
dc.identifier.issn1742-5468en
dc.identifier.urihttp://hdl.handle.net/10919/73137en
dc.language.isoenen
dc.publisherIOPen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000326869000002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectTechnologyen
dc.subjectMechanicsen
dc.subjectPhysics, Mathematicalen
dc.subjectPhysicsen
dc.subjectstochastic particle dynamics (theory)en
dc.subjectmodels for evolution (theory)en
dc.subjectmutational and evolutionary processes (theory)en
dc.subjectpopulation dynamics (theory)en
dc.subjectCYCLIC COMPETITIONen
dc.subjectEVOLUTIONen
dc.titleEnvironmental versus demographic variability in stochastic predator prey modelsen
dc.title.serialJournal of Statistical Mechanics-Theory And Experimenten
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen

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