Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection

Detalhes bibliográficos
Autor(a) principal: Rosa, Silvério
Data de Publicação: 2018
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/10400.6/9034
Resumo: A human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in [Stat. Optim. Inf. Comput. 6 (2018), no.1, 139--149] to describe real data collected by Florida's system. In contrast, here we propose a non-local fractional (non-integer) order model. A fractional optimal control problem is then formulated and solved, having treatment as the control. Finally, a cost-effectiveness analysis is carried out to evaluate the cost and the effectiveness of proposed control measures during the intervention period, showing the superiority of obtained results with respect to previous ones.
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spelling Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infectionHuman respiratory syncytial virus (HRSV)Compartmental mathematical modelsFractional optimal controlA human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in [Stat. Optim. Inf. Comput. 6 (2018), no.1, 139--149] to describe real data collected by Florida's system. In contrast, here we propose a non-local fractional (non-integer) order model. A fractional optimal control problem is then formulated and solved, having treatment as the control. Finally, a cost-effectiveness analysis is carried out to evaluate the cost and the effectiveness of proposed control measures during the intervention period, showing the superiority of obtained results with respect to previous ones.uBibliorumRosa, SilvérioTorres, Delfim F. M.2020-02-05T15:48:27Z2018-10-162018-10-16T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9034eng10.1016/j.chaos.2018.10.021info: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:RCAAP2024-11-27T12:30:02Zoai:ubibliorum.ubi.pt:10400.6/9034Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-11-27T12:30:02Repositório 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 Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
title Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
spellingShingle Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
Rosa, Silvério
Human respiratory syncytial virus (HRSV)
Compartmental mathematical models
Fractional optimal control
title_short Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
title_full Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
title_fullStr Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
title_full_unstemmed Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
title_sort Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
author Rosa, Silvério
author_facet Rosa, Silvério
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 Rosa, Silvério
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Human respiratory syncytial virus (HRSV)
Compartmental mathematical models
Fractional optimal control
topic Human respiratory syncytial virus (HRSV)
Compartmental mathematical models
Fractional optimal control
description A human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in [Stat. Optim. Inf. Comput. 6 (2018), no.1, 139--149] to describe real data collected by Florida's system. In contrast, here we propose a non-local fractional (non-integer) order model. A fractional optimal control problem is then formulated and solved, having treatment as the control. Finally, a cost-effectiveness analysis is carried out to evaluate the cost and the effectiveness of proposed control measures during the intervention period, showing the superiority of obtained results with respect to previous ones.
publishDate 2018
dc.date.none.fl_str_mv 2018-10-16
2018-10-16T00:00:00Z
2020-02-05T15:48:27Z
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/10400.6/9034
url http://hdl.handle.net/10400.6/9034
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1016/j.chaos.2018.10.021
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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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
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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