A Consistent Discrete Version of a Nonautonomous SIRVS Model

Detalhes bibliográficos
Autor(a) principal: Mateus, Joaquim
Data de Publicação: 2018
Outros Autores: Silva, César M., Vaz, Sandra
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9035
Resumo: A 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.
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spelling A Consistent Discrete Version of a Nonautonomous SIRVS ModelMathematicsNonautonomous SIRVS ModelA 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.uBibliorumMateus, JoaquimSilva, César M.Vaz, Sandra2020-02-05T15:53:24Z2018-06-242018-06-24T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9035eng10.1155/2018/8152032info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:49:34Zoai:ubibliorum.ubi.pt:10400.6/9035Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:16.161758Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A Consistent Discrete Version of a Nonautonomous SIRVS Model
title A Consistent Discrete Version of a Nonautonomous SIRVS Model
spellingShingle A Consistent Discrete Version of a Nonautonomous SIRVS Model
Mateus, Joaquim
Mathematics
Nonautonomous SIRVS Model
title_short A Consistent Discrete Version of a Nonautonomous SIRVS Model
title_full A Consistent Discrete Version of a Nonautonomous SIRVS Model
title_fullStr A Consistent Discrete Version of a Nonautonomous SIRVS Model
title_full_unstemmed A Consistent Discrete Version of a Nonautonomous SIRVS Model
title_sort A Consistent Discrete Version of a Nonautonomous SIRVS Model
author Mateus, Joaquim
author_facet Mateus, Joaquim
Silva, César M.
Vaz, Sandra
author_role author
author2 Silva, César M.
Vaz, Sandra
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Mateus, Joaquim
Silva, César M.
Vaz, Sandra
dc.subject.por.fl_str_mv Mathematics
Nonautonomous SIRVS Model
topic Mathematics
Nonautonomous SIRVS Model
description A 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.
publishDate 2018
dc.date.none.fl_str_mv 2018-06-24
2018-06-24T00:00:00Z
2020-02-05T15:53:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/9035
url http://hdl.handle.net/10400.6/9035
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1155/2018/8152032
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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