Dynamical analysis of a fractional SIR model with treatment and quarantine

Detalhes bibliográficos
Autor(a) principal: Almeida, Ricardo
Data de Publicação: 2020
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/28907
Resumo: We propose a fractional SIR model with treatment and quarantine policies, whose dynamics is described by the Caputo fractional derivative. Local stability of the equilibrium points is studied, and the threshold value R0 is found. Finally, some numerical simulations are presented for different values of the parameters.
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spelling Dynamical analysis of a fractional SIR model with treatment and quarantineFractional calculusEpidemiological modelsNumerical simulationsWe propose a fractional SIR model with treatment and quarantine policies, whose dynamics is described by the Caputo fractional derivative. Local stability of the equilibrium points is studied, and the threshold value R0 is found. Finally, some numerical simulations are presented for different values of the parameters.2020-07-21T15:44:42Z2020-01-01T00:00:00Z2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/28907eng2241-0503Almeida, Ricardoinfo: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:RCAAP2024-02-22T11:55:53Zoai:ria.ua.pt:10773/28907Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:01:22.076584Repositório 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 Dynamical analysis of a fractional SIR model with treatment and quarantine
title Dynamical analysis of a fractional SIR model with treatment and quarantine
spellingShingle Dynamical analysis of a fractional SIR model with treatment and quarantine
Almeida, Ricardo
Fractional calculus
Epidemiological models
Numerical simulations
title_short Dynamical analysis of a fractional SIR model with treatment and quarantine
title_full Dynamical analysis of a fractional SIR model with treatment and quarantine
title_fullStr Dynamical analysis of a fractional SIR model with treatment and quarantine
title_full_unstemmed Dynamical analysis of a fractional SIR model with treatment and quarantine
title_sort Dynamical analysis of a fractional SIR model with treatment and quarantine
author Almeida, Ricardo
author_facet Almeida, Ricardo
author_role author
dc.contributor.author.fl_str_mv Almeida, Ricardo
dc.subject.por.fl_str_mv Fractional calculus
Epidemiological models
Numerical simulations
topic Fractional calculus
Epidemiological models
Numerical simulations
description We propose a fractional SIR model with treatment and quarantine policies, whose dynamics is described by the Caputo fractional derivative. Local stability of the equilibrium points is studied, and the threshold value R0 is found. Finally, some numerical simulations are presented for different values of the parameters.
publishDate 2020
dc.date.none.fl_str_mv 2020-07-21T15:44:42Z
2020-01-01T00:00:00Z
2020
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/10773/28907
url http://hdl.handle.net/10773/28907
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2241-0503
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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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
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