Fractional modelling and optimal control of COVID-19 transmission in Portugal

Detalhes bibliográficos
Autor(a) principal: Rosa, Silvério
Data de Publicação: 2022
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/10773/34104
Resumo: A fractional-order compartmental model was recently used to describe real data of the first wave of the COVID-19 pandemic in Portugal [Chaos Solitons Fractals 144 (2021), Art. 110652]. Here, we modify that model in order to correct time dimensions and use it to investigate the third wave of COVID-19 that occurred in Portugal from December 2020 to February 2021, and that has surpassed all previous waves, both in number and consequences. A new fractional optimal control problem is then formulated and solved, with vaccination and preventive measures as controls. A cost-effectiveness analysis is carried out, and the obtained results are discussed.
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spelling Fractional modelling and optimal control of COVID-19 transmission in PortugalCompartmental modelsCOVID-19 pandemicThird wave of COVID-19 in PortugalFractional-order calculusOptimal controlA fractional-order compartmental model was recently used to describe real data of the first wave of the COVID-19 pandemic in Portugal [Chaos Solitons Fractals 144 (2021), Art. 110652]. Here, we modify that model in order to correct time dimensions and use it to investigate the third wave of COVID-19 that occurred in Portugal from December 2020 to February 2021, and that has surpassed all previous waves, both in number and consequences. A new fractional optimal control problem is then formulated and solved, with vaccination and preventive measures as controls. A cost-effectiveness analysis is carried out, and the obtained results are discussed.MDPI2022-07-04T13:19:57Z2022-04-11T00:00:00Z2022-04-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/34104eng10.3390/axioms11040170Rosa, SilvérioTorres, 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:RCAAP2024-02-22T12:04:46Zoai:ria.ua.pt:10773/34104Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:05:02.400906Repositório 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 Fractional modelling and optimal control of COVID-19 transmission in Portugal
title Fractional modelling and optimal control of COVID-19 transmission in Portugal
spellingShingle Fractional modelling and optimal control of COVID-19 transmission in Portugal
Rosa, Silvério
Compartmental models
COVID-19 pandemic
Third wave of COVID-19 in Portugal
Fractional-order calculus
Optimal control
title_short Fractional modelling and optimal control of COVID-19 transmission in Portugal
title_full Fractional modelling and optimal control of COVID-19 transmission in Portugal
title_fullStr Fractional modelling and optimal control of COVID-19 transmission in Portugal
title_full_unstemmed Fractional modelling and optimal control of COVID-19 transmission in Portugal
title_sort Fractional modelling and optimal control of COVID-19 transmission in Portugal
author Rosa, Silvério
author_facet Rosa, Silvério
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.author.fl_str_mv Rosa, Silvério
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Compartmental models
COVID-19 pandemic
Third wave of COVID-19 in Portugal
Fractional-order calculus
Optimal control
topic Compartmental models
COVID-19 pandemic
Third wave of COVID-19 in Portugal
Fractional-order calculus
Optimal control
description A fractional-order compartmental model was recently used to describe real data of the first wave of the COVID-19 pandemic in Portugal [Chaos Solitons Fractals 144 (2021), Art. 110652]. Here, we modify that model in order to correct time dimensions and use it to investigate the third wave of COVID-19 that occurred in Portugal from December 2020 to February 2021, and that has surpassed all previous waves, both in number and consequences. A new fractional optimal control problem is then formulated and solved, with vaccination and preventive measures as controls. A cost-effectiveness analysis is carried out, and the obtained results are discussed.
publishDate 2022
dc.date.none.fl_str_mv 2022-07-04T13:19:57Z
2022-04-11T00:00:00Z
2022-04-11
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/10773/34104
url http://hdl.handle.net/10773/34104
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/axioms11040170
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv MDPI
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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