A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal

Detalhes bibliográficos
Autor(a) principal: Vaz, Sandra
Data de Publicação: 2021
Outros Autores: Torres, Delfim F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/12424
Resumo: Recently, a continuous-time compartmental mathematical model for the spread of the Coronavirus disease 2019 (COVID-19) was presented with Portugal as case study, from 2 March to 4 May 2020, and the local stability of the Disease Free Equilibrium (DFE) was analysed. Here, we propose an analogous discrete-time model and, using a suitable Lyapunov function, we prove the global stability of the DFE point. Using COVID-19 real data, we show, through numerical simulations, the consistence of the obtained theoretical results.
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spelling A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for PortugalMathematical modellingEpidemiologyCOVID-19 pandemicQualitative theoryLyapunov functionsNumerical simulations with real dataRecently, a continuous-time compartmental mathematical model for the spread of the Coronavirus disease 2019 (COVID-19) was presented with Portugal as case study, from 2 March to 4 May 2020, and the local stability of the Disease Free Equilibrium (DFE) was analysed. Here, we propose an analogous discrete-time model and, using a suitable Lyapunov function, we prove the global stability of the DFE point. Using COVID-19 real data, we show, through numerical simulations, the consistence of the obtained theoretical results.uBibliorumVaz, SandraTorres, Delfim F. M.2022-11-21T17:04:18Z2021-11-232021-11-23T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/12424engVaz, S.; Torres, D.F.M. A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal. Axioms 2021, 10, 314. https:// doi.org/10.3390/axioms1004031410.3390/axioms10040314info: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:RCAAP2023-12-15T09:55:36Zoai:ubibliorum.ubi.pt:10400.6/12424Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:52:02.091874Repositório 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 Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
title A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
spellingShingle A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
Vaz, Sandra
Mathematical modelling
Epidemiology
COVID-19 pandemic
Qualitative theory
Lyapunov functions
Numerical simulations with real data
title_short A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
title_full A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
title_fullStr A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
title_full_unstemmed A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
title_sort A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal
author Vaz, Sandra
author_facet Vaz, Sandra
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Vaz, Sandra
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Mathematical modelling
Epidemiology
COVID-19 pandemic
Qualitative theory
Lyapunov functions
Numerical simulations with real data
topic Mathematical modelling
Epidemiology
COVID-19 pandemic
Qualitative theory
Lyapunov functions
Numerical simulations with real data
description Recently, a continuous-time compartmental mathematical model for the spread of the Coronavirus disease 2019 (COVID-19) was presented with Portugal as case study, from 2 March to 4 May 2020, and the local stability of the Disease Free Equilibrium (DFE) was analysed. Here, we propose an analogous discrete-time model and, using a suitable Lyapunov function, we prove the global stability of the DFE point. Using COVID-19 real data, we show, through numerical simulations, the consistence of the obtained theoretical results.
publishDate 2021
dc.date.none.fl_str_mv 2021-11-23
2021-11-23T00:00:00Z
2022-11-21T17:04:18Z
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/10400.6/12424
url http://hdl.handle.net/10400.6/12424
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Vaz, S.; Torres, D.F.M. A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal. Axioms 2021, 10, 314. https:// doi.org/10.3390/axioms10040314
10.3390/axioms10040314
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
instname_str 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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