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A Consistent Discrete Version of a Nonautonomous SIRVS Model

dc.contributor.authorMateus, Joaquim
dc.contributor.authorSilva, César M.
dc.contributor.authorVaz, Sandra
dc.date.accessioned2020-02-05T15:53:24Z
dc.date.available2020-02-05T15:53:24Z
dc.date.issued2018-06-24
dc.description.abstractA family of discrete nonautonomous SIRVS models with general incidence is obtained from a continuous family of models by applying Mickens's nonstandard discretization method. Conditions for the permanence and extinction of the disease and the stability of disease-free solutions are determined. Concerning extinction and persistence, the consistency of those discrete models with the corresponding continuous model is discussed: if the time step is sufficiently small, when we have extinction (permanence) for the continuous model, we also have extinction (permanence) for the corresponding discrete model. Some numerical simulations are carried out to compare the different possible discretizations of our continuous model using real data.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1155/2018/8152032pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9035
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectMathematicspt_PT
dc.subjectNonautonomous SIRVS Modelpt_PT
dc.titleA Consistent Discrete Version of a Nonautonomous SIRVS Modelpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT
oaire.citation.endPage18pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleDiscrete Dynamics in Nature and Societypt_PT
oaire.citation.volume2018pt_PT
oaire.fundingStream5876
person.familyNameMateus
person.familyNameSilva
person.familyNameVaz
person.givenNameJoaquim
person.givenNameCésar
person.givenNameSandra
person.identifier1931565
person.identifier.ciencia-idD310-274C-413D
person.identifier.ciencia-idA617-5B18-86CC
person.identifier.ciencia-id2D10-D257-281D
person.identifier.orcid0000-0002-4677-2896
person.identifier.orcid0000-0001-6189-8836
person.identifier.orcid0000-0002-1507-2272
person.identifier.ridAFT-2191-2022
person.identifier.scopus-author-id8850727300
person.identifier.scopus-author-id37089577800
person.identifier.scopus-author-id56150121900
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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relation.isAuthorOfPublicationa4d0f7c9-3e41-4815-a211-65c7b2343e3f
relation.isAuthorOfPublication1b012cff-18b5-4114-99a4-eebf3002c5d0
relation.isAuthorOfPublication.latestForDiscovery0234f178-60c8-4b99-9195-699cfe5ce227
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