Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan

Detalhes bibliográficos
Autor(a) principal: Ndaïrou, Faïçal
Data de Publicação: 2020
Outros Autores: Area, Iván, Nieto, Juan J., 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/10773/28339
Resumo: We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability of the disease free equilibrium in terms of the basic reproduction number, and we investigate the sensitivity of the model with respect to the variation of each one of its parameters. Numerical simulations show the suitability of the proposed COVID-19 model for the outbreak that occurred in Wuhan, China.
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spelling Mathematical modeling of COVID-19 transmission dynamics with a case study of WuhanMathematical modeling of COVID-19 pandemicWuhan case studyBasic reproduction numberStabilitySensitivity analysisNumerical simulationsWe propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability of the disease free equilibrium in terms of the basic reproduction number, and we investigate the sensitivity of the model with respect to the variation of each one of its parameters. Numerical simulations show the suitability of the proposed COVID-19 model for the outbreak that occurred in Wuhan, China.Elsevier2020-05-04T11:54:12Z2020-06-01T00:00:00Z2020-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/28339eng0960-077910.1016/j.chaos.2020.109846Ndaïrou, FaïçalArea, IvánNieto, Juan J.Torres, Delfim F. M.info: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:RCAAP2024-02-22T11:54:48Zoai:ria.ua.pt:10773/28339Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:00:54.099287Repositório 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 Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
title Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
spellingShingle Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
Ndaïrou, Faïçal
Mathematical modeling of COVID-19 pandemic
Wuhan case study
Basic reproduction number
Stability
Sensitivity analysis
Numerical simulations
title_short Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
title_full Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
title_fullStr Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
title_full_unstemmed Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
title_sort Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
author Ndaïrou, Faïçal
author_facet Ndaïrou, Faïçal
Area, Iván
Nieto, Juan J.
Torres, Delfim F. M.
author_role author
author2 Area, Iván
Nieto, Juan J.
Torres, Delfim F. M.
author2_role author
author
author
dc.contributor.author.fl_str_mv Ndaïrou, Faïçal
Area, Iván
Nieto, Juan J.
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Mathematical modeling of COVID-19 pandemic
Wuhan case study
Basic reproduction number
Stability
Sensitivity analysis
Numerical simulations
topic Mathematical modeling of COVID-19 pandemic
Wuhan case study
Basic reproduction number
Stability
Sensitivity analysis
Numerical simulations
description We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability of the disease free equilibrium in terms of the basic reproduction number, and we investigate the sensitivity of the model with respect to the variation of each one of its parameters. Numerical simulations show the suitability of the proposed COVID-19 model for the outbreak that occurred in Wuhan, China.
publishDate 2020
dc.date.none.fl_str_mv 2020-05-04T11:54:12Z
2020-06-01T00:00:00Z
2020-06
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/10773/28339
url http://hdl.handle.net/10773/28339
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0960-0779
10.1016/j.chaos.2020.109846
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.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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