Analysis of a COVID-19 compartmental model: a mathematical and computational approach

Detalhes bibliográficos
Autor(a) principal: Abreu, Zita
Data de Publicação: 2021
Outros Autores: Cantin, Guillaume, Silva, Cristiana J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10773/32289
Resumo: In this note, we consider a compartmental epidemic mathematical model given by a system of differential equations. We provide a complete toolkit for performing both a symbolic and numerical analysis of the spreading of COVID-19. By using the free and open-source programming language Python and the mathematical software SageMath, we contribute for the reproducibility of the mathematical analysis of the stability of the equilibrium points of epidemic models and their fitting to real data. The mathematical tools and codes can be adapted to a wide range of mathematical epidemic models.
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spelling Analysis of a COVID-19 compartmental model: a mathematical and computational approachSAIRP epidemic modelCOVID-19Stability analysisFree and open-source softwareReproducibility of scientific methodIn this note, we consider a compartmental epidemic mathematical model given by a system of differential equations. We provide a complete toolkit for performing both a symbolic and numerical analysis of the spreading of COVID-19. By using the free and open-source programming language Python and the mathematical software SageMath, we contribute for the reproducibility of the mathematical analysis of the stability of the equilibrium points of epidemic models and their fitting to real data. The mathematical tools and codes can be adapted to a wide range of mathematical epidemic models.AIMS Press2021-10-01T12:59:56Z2021-09-14T00:00:00Z2021-09-14info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/32289eng1547-106310.3934/mbe.2021396Abreu, ZitaCantin, GuillaumeSilva, Cristiana J.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:34:03Zoai:ria.ua.pt:10773/32289Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:12:54.200802Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title Analysis of a COVID-19 compartmental model: a mathematical and computational approach
spellingShingle Analysis of a COVID-19 compartmental model: a mathematical and computational approach
Abreu, Zita
SAIRP epidemic model
COVID-19
Stability analysis
Free and open-source software
Reproducibility of scientific method
title_short Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_full Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_fullStr Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_full_unstemmed Analysis of a COVID-19 compartmental model: a mathematical and computational approach
title_sort Analysis of a COVID-19 compartmental model: a mathematical and computational approach
author Abreu, Zita
author_facet Abreu, Zita
Cantin, Guillaume
Silva, Cristiana J.
author_role author
author2 Cantin, Guillaume
Silva, Cristiana J.
author2_role author
author
dc.contributor.author.fl_str_mv Abreu, Zita
Cantin, Guillaume
Silva, Cristiana J.
dc.subject.por.fl_str_mv SAIRP epidemic model
COVID-19
Stability analysis
Free and open-source software
Reproducibility of scientific method
topic SAIRP epidemic model
COVID-19
Stability analysis
Free and open-source software
Reproducibility of scientific method
description In this note, we consider a compartmental epidemic mathematical model given by a system of differential equations. We provide a complete toolkit for performing both a symbolic and numerical analysis of the spreading of COVID-19. By using the free and open-source programming language Python and the mathematical software SageMath, we contribute for the reproducibility of the mathematical analysis of the stability of the equilibrium points of epidemic models and their fitting to real data. The mathematical tools and codes can be adapted to a wide range of mathematical epidemic models.
publishDate 2021
dc.date.none.fl_str_mv 2021-10-01T12:59:56Z
2021-09-14T00:00:00Z
2021-09-14
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/10773/32289
url http://hdl.handle.net/10773/32289
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1547-1063
10.3934/mbe.2021396
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 AIMS Press
publisher.none.fl_str_mv AIMS Press
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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repository.mail.fl_str_mv info@rcaap.pt
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