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Non-autonomous periodic systems with Allee effects

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dc.contributor.authorLuís, Rafael
dc.contributor.authorElaydi, Saber
dc.contributor.authorOliveira, Henrique
dc.date.accessioned2021-10-27T08:19:06Z
dc.date.available2021-10-27T08:19:06Z
dc.date.issued2010
dc.description.abstractA new class of maps called unimodal Allee maps are introduced. Such maps arise in the study of population dynamics in which the population goes extinct if its size falls below a threshold value. A unimodal Allee map is thus a unimodal map with three fixed points, a zero fixed point, a small positive fixed point, called threshold point, and a bigger positive fixed point, called the carrying capacity. In this paper, the properties and stability of the three fixed points are studied in the setting of non-autonomous periodic dynamical systems or difference equations. Finally, we investigate the bifurcation of periodic systems/difference equations when the system consists of two unimodal Allee maps.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationLuis, R., Elaydi, S., & Oliveira, H. (2010). Non-autonomous periodic systems with Allee effects. Journal of Difference Equations and Applications, 16(10), 1179-1196. https://doi.org/10.1080/10236190902794951pt_PT
dc.identifier.doi10.1080/10236190902794951pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/3775
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherTaylor and Francispt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectUnimodal Allee mapspt_PT
dc.subjectThreshold pointpt_PT
dc.subjectCarrying capacitypt_PT
dc.subjectComposition mappt_PT
dc.subjectStabilitypt_PT
dc.subjectBifurcationpt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleNon-autonomous periodic systems with Allee effectspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1196pt_PT
oaire.citation.issue10pt_PT
oaire.citation.startPage1179pt_PT
oaire.citation.titleJournal of Difference Equations and Applicationspt_PT
oaire.citation.volume16pt_PT
person.familyNameLuís
person.givenNameRafael
person.identifier.ciencia-idB41F-E943-D36D
person.identifier.orcid0000-0002-5991-9164
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationf6f56adc-c6c6-4942-b103-77ed8d688848
relation.isAuthorOfPublication.latestForDiscoveryf6f56adc-c6c6-4942-b103-77ed8d688848

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