A Consistent Discrete Version of a Nonautonomous SIRVS Model
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , |
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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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 |
format |
article |
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) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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 |
repository.mail.fl_str_mv |
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1799136385254293504 |