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Geometry and Global Stability of 2D Periodic Monotone Maps

2021Artigo científico Acesso aberto
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dc.contributor.authorBalreira, E. Cabral
dc.contributor.authorLuís, Rafael
dc.date.accessioned2023-12-19T13:35:12Z
dc.date.available2023-12-19T13:35:12Z
dc.date.issued2021
dc.description.abstractWe establish conditions to ensure global stability of a competitive periodic system from hypotheses on individual maps. We study planar competitive maps of Kolgomorov type. We show how conditions for global stability for individual maps will remain invariant under composition and hence establish a globally stable cycle. Our main theoretical contribution is to show that stability for monotone non-autonomous periodic maps can be reduced to a problem of global injectivity. We provide analytic conditions that can be checked and illustrate our results with important competition models such as the planar Leslie-Gower and Ricker maps.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBalreira, E. C., & Luís, R. (2021). Geometry and Global Stability of 2D Periodic Monotone Maps. Journal of Dynamics and Differential Equations, 1-14.pt_PT
dc.identifier.doi10.1007/s10884-021-10089-zpt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/5438
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationCenter for Mathematical Analysis, Geometry and Dynamical Systems
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectCompetition modelspt_PT
dc.subjectGlobal stabilitypt_PT
dc.subjectKolmogorov mapspt_PT
dc.subjectMonotone mapspt_PT
dc.subject2D Periodic mapspt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleGeometry and Global Stability of 2D Periodic Monotone Mapspt_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.endPage2198pt_PT
oaire.citation.issue3pt_PT
oaire.citation.startPage2185pt_PT
oaire.citation.titleJournal of Dynamics and Differential Equationspt_PT
oaire.citation.volume35pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBalreira
person.familyNameLuís
person.givenNameE. Cabral
person.givenNameRafael
person.identifier.ciencia-idB41F-E943-D36D
person.identifier.orcid0000-0003-1445-1227
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.isAuthorOfPublication704c28e1-cb99-4102-9c2b-a7e793f7eeac
relation.isAuthorOfPublicationf6f56adc-c6c6-4942-b103-77ed8d688848
relation.isAuthorOfPublication.latestForDiscovery704c28e1-cb99-4102-9c2b-a7e793f7eeac
relation.isProjectOfPublication6342f1dc-9bae-4098-84ac-6af357ebb88d
relation.isProjectOfPublication.latestForDiscovery6342f1dc-9bae-4098-84ac-6af357ebb88d

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