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Local stability in 3D discrete dynamical systems: application to a Ricker competition model

dc.contributor.authorLuís, Rafael
dc.contributor.authorRodrigues, Elias
dc.date.accessioned2022-02-24T12:27:30Z
dc.date.available2022-02-24T12:27:30Z
dc.date.issued2017
dc.description.abstractA survey on the conditions of local stability of fixed points of three-dimensional discrete dynamical systems or difference equations is provided. In particular, the techniques for studying the stability of nonhyperbolic fixed points via the centre manifold theorem are presented. A nonlinear model in population dynamics is studied, namely, the Ricker competition model of three species. In addition, a conjecture about the global stability of the nontrivial fixed points of the Ricker competition model is presented.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationLuís, R., & Rodrigues, E. (2017). Local stability in 3D discrete dynamical systems: application to a Ricker competition model. Discrete Dynamics in Nature and Society, 2017. https://doi.org/10.1155/2017/6186354pt_PT
dc.identifier.doi10.1155/2017/6186354pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/4105
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherHindawipt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectLocal stabilitypt_PT
dc.subjectLocal stability in 3Dpt_PT
dc.subjectDiscrete dynamical systempt_PT
dc.subjectRicker competition modelpt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleLocal stability in 3D discrete dynamical systems: application to a Ricker competition modelpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04459%2F2013/PT
oaire.citation.endPage16pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleDiscrete Dynamics in Nature and Societypt_PT
oaire.citation.volume2017pt_PT
oaire.fundingStream5876
person.familyNameLuís
person.familyNameRodrigues
person.givenNameRafael
person.givenNameElias
person.identifier.ciencia-idB41F-E943-D36D
person.identifier.orcid0000-0002-5991-9164
person.identifier.orcid0000-0002-8758-5974
person.identifier.scopus-author-id23993963400
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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