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The effects of evolution on the stability of competing species

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dc.contributor.authorElaydi, S.
dc.contributor.authorKang, Y.
dc.contributor.authorLuís, Rafael
dc.date.accessioned2023-12-19T11:52:25Z
dc.date.available2023-12-19T11:52:25Z
dc.date.issued2022
dc.description.abstractBased on evolutionary game theory and Darwinian evolution, we propose and study discrete-time competition models of two species where at least one species has an evolving trait that affects their intra-specific, but not their inter-specific competition coefficients. By using perturbation theory, and the theory of the limiting equations of non-autonomous discrete dynamical systems, we obtain global stability results. Our theoretical results indicate that evolution may promote and/or suppress the stability of the coexistence equilibrium depending on the environment. This relies crucially on the speed of evolution and on how the intra-specific competition coefficient depends on the evolving trait. In general, equilibrium destabiliza tion occurs when α > 2, when the speed of evolution is sufficiently slow. In this case, we conclude that evolution selects against com plex dynamics. However, when evolution proceeds at a faster pace, destabilization can occur when α < 2. In this case, if the competition coefficient is highly sensitive to changes in the trait v, destabilization and complex dynamics occur. Moreover, destabilization may lead to either a period-doubling bifurcation, as in the non-evolutionary Ricker equation, or to a Neimark-Sacker bifurcation.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationS. Elaydi, Y. Kang & R. Luís (2022) The effects of evolution on the stability of competing species, Journal of Biological Dynamics, 16:1, 816-839, DOI: 10.1080/17513758.2022.2154860pt_PT
dc.identifier.doi10.1080/17513758.2022.2154860pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/5436
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherTaylor and Francispt_PT
dc.relationCenter for Mathematical Analysis, Geometry and Dynamical Systems
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectCompetition modelspt_PT
dc.subjectEvolutionary dynamicspt_PT
dc.subjectTraitspt_PT
dc.subjectLocal stabilitypt_PT
dc.subjectAsymptotically autonomouspt_PT
dc.subjectGlobal stabilitypt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleThe effects of evolution on the stability of competing speciespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematical Analysis, Geometry and Dynamical Systems
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04459%2F2020/PT
oaire.citation.endPage839pt_PT
oaire.citation.issue1pt_PT
oaire.citation.startPage816pt_PT
oaire.citation.titleJournal of Biological Dynamicspt_PT
oaire.citation.volume16pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameLuís
person.givenNameRafael
person.identifier.ciencia-idB41F-E943-D36D
person.identifier.orcid0000-0002-5991-9164
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationf6f56adc-c6c6-4942-b103-77ed8d688848
relation.isAuthorOfPublication.latestForDiscoveryf6f56adc-c6c6-4942-b103-77ed8d688848
relation.isProjectOfPublication6342f1dc-9bae-4098-84ac-6af357ebb88d
relation.isProjectOfPublication.latestForDiscovery6342f1dc-9bae-4098-84ac-6af357ebb88d

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