Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
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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7160 |
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 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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 |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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 |
_version_ |
1817549639189004288 |