A stochastic analysis of the spatially extended May-Leonard model

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dc.contributor.authorSerrao, S. R.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentCenter for Soft Matter and Biological Physicsen
dc.contributor.departmentPhysicsen
dc.date.accessioned2017-12-30T23:55:07Zen
dc.date.available2017-12-30T23:55:07Zen
dc.date.issued2017-10-06en
dc.description.abstractNumerical studies of the May–Leonard model for cyclically competing species exhibit spontaneous spatial structures in the form of spirals. It is desirable to obtain a simple coarse-grained evolution equation describing spatio-temporal pattern formation in such spatially extended stochastic population dynamics models. Extending earlier work on the corresponding deterministic system, we derive the complex Ginzburg–Landau equation as the effective representation of the fully stochastic dynamics of this paradigmatic model for cyclic dominance near its Hopf bifurcation, and for small fluctuations in the three-species coexistence regime. The internal stochastic reaction noise is accounted for through the Doi–Peliti coherent-state path integral formalism, and subsequent mapping to three coupled non-linear Langevin equations. This analysis provides constraints on the model parameters that allow time scale separation and in consequence a further reduction to just two coarse-grained slow degrees of freedom.en
dc.description.notesAccepted version.en
dc.description.versionPublished versionen
dc.format.extent16 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1088/1751-8121/aa87a8en
dc.identifier.eissn1751-8121en
dc.identifier.issn1751-8113en
dc.identifier.issue40en
dc.identifier.orcidTauber, UC [0000-0001-7854-2254]en
dc.identifier.urihttp://hdl.handle.net/10919/81461en
dc.identifier.volume50en
dc.language.isoenen
dc.publisherIOPen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000409911400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhysics, Multidisciplinaryen
dc.subjectPhysics, Mathematicalen
dc.subjectPhysicsen
dc.subjectstochastic population dynamicsen
dc.subjectspatially extended May-Leonard modelen
dc.subjectspatio-temporal patternsen
dc.subjectcomplex Ginzburg-Landau equationen
dc.subjectintrinsic noise effectsen
dc.subjectfield-theoretic analysisen
dc.subjectROCK-PAPER-SCISSORSen
dc.subjectBIODIVERSITYen
dc.subjectCOMPETITIONen
dc.subjectPROMOTESen
dc.subjectLATTICEen
dc.subjectGAMEen
dc.titleA stochastic analysis of the spatially extended May-Leonard modelen
dc.title.serialJournal of Physics A-Mathematical And Theoreticalen
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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