Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/32647
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dc.contributor.authorAlmeida, Ricardopt_PT
dc.contributor.authorMartins, Natáliapt_PT
dc.contributor.authorSilva, Cristiana J.pt_PT
dc.date.accessioned2021-11-24T11:26:40Z-
dc.date.available2021-11-24T11:26:40Z-
dc.date.issued2021-
dc.identifier.urihttp://hdl.handle.net/10773/32647-
dc.description.abstractIn this paper, we present a new result that allows for studying the global stability of the disease-free equilibrium point when the basic reproduction number is less than 1, in the fractional calculus context. The method only involves basic linear algebra and can be easily applied to study global asymptotic stability. After proving some auxiliary lemmas involving the Mittag–Leffler function, we present the main result of the paper. Under some assumptions, we prove that the disease-free equilibrium point of a fractional differential system is globally asymptotically stable. We then exemplify the procedure with some epidemiological models: a fractional-order SEIR model with classical incidence function, a fractional-order SIRS model with a general incidence function, and a fractional-order model for HIV/AIDS.pt_PT
dc.language.isoengpt_PT
dc.publisherMDPIpt_PT
dc.relationUIDB/04106/2020pt_PT
dc.relationCEECIND/00564/2018pt_PT
dc.rightsopenAccesspt_PT
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectEpidemiologypt_PT
dc.subjectMathematical modelingpt_PT
dc.subjectFractional calculuspt_PT
dc.subjectEquilibriumpt_PT
dc.subjectStabilitypt_PT
dc.titleGlobal stability condition for the disease-free equilibrium point of fractional epidemiological modelspt_PT
dc.typearticlept_PT
dc.description.versionpublishedpt_PT
dc.peerreviewedyespt_PT
degois.publication.issue4pt_PT
degois.publication.titleAxiomspt_PT
degois.publication.volume10pt_PT
dc.relation.publisherversionhttps://www.mdpi.com/2075-1680/10/4/238pt_PT
dc.identifier.doi10.3390/axioms10040238pt_PT
dc.identifier.essn2075-1680pt_PT
dc.identifier.articlenumber238pt_PT
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