Perturbative field-theoretical analysis of three-species cyclic predator-prey models

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dc.contributor.authorYao, Louie Hongen
dc.contributor.authorSwailem, Mohameden
dc.contributor.authorDobramysl, Ulrichen
dc.contributor.authorTauber, Uwe C.en
dc.date.accessioned2023-06-21T15:12:48Zen
dc.date.available2023-06-21T15:12:48Zen
dc.date.issued2023-06en
dc.description.abstractWe apply a perturbative Doi-Peliti field-theoretical analysis to the stochastic spatially extended symmetric Rock-paper-Scissors (RPS) and May-Leonard (ML) models, in which three species compete cyclically. Compared to the two-species Lotka-Volterra predator-prey (LV) model, according to numerical simulations, these cyclical models appear to be less affected by intrinsic stochastic fluctuations. Indeed, we demonstrate that the qualitative features of the ML model are insensitive to intrinsic reaction noise. In contrast, and although not yet observed in numerical simulations, we find that the RPS model acquires significant fluctuation-induced renormalizations in the perturbative regime, similar to the LV model. We also study the formation of spatio-temporal structures in the framework of stability analysis and provide a clearcut explanation for the absence of spatial patterns in the RPS system, whereas the spontaneous emergence of spatio-temporal structures features prominently in the LV and the ML models.en
dc.description.notesThe authors gratefully acknowledge inspiring discussions with Erwin Frey, Nigel Goldenfeld, Qian He, Mauro Mobilia, Michel Pleimling, Alastair Rucklidge, and Royce K P Zia. This research was partially supported by the U.S National Science Foundation, Division of Mathematical Sciences under Award No. NSF DMS-2128587.en
dc.description.sponsorshipU.S National Science Foundation, Division of Mathematical Sciences [NSF DMS-2128587]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1088/1751-8121/acd0e4en
dc.identifier.eissn1751-8121en
dc.identifier.issn1751-8113en
dc.identifier.issue22en
dc.identifier.other225001en
dc.identifier.urihttp://hdl.handle.net/10919/115471en
dc.identifier.volume56en
dc.language.isoenen
dc.publisherIOP Publishingen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectpredator-prey modelen
dc.subjectcyclic competitionen
dc.subjectfield-theoretical analysisen
dc.subjectpattern formationen
dc.subjectfluctuation-induced behavioren
dc.titlePerturbative field-theoretical analysis of three-species cyclic predator-prey modelsen
dc.title.serialJournal of Physics A-Mathematical and Theoreticalen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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