On application of optimal control to SEIR normalized models: Pros and cons

Detalhes bibliográficos
Autor(a) principal: Maria do Rosário de Pinho
Data de Publicação: 2017
Outros Autores: Filipa Nunes Nogueira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/107852
Resumo: In this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with L-1 cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with L-1 costs are considered. Our discussion highlights the role of the cost. Additionally, we partially validate our numerical solutions for our optimal control problem with normalized models using the Maximum Principle.
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spelling On application of optimal control to SEIR normalized models: Pros and consIn this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with L-1 cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with L-1 costs are considered. Our discussion highlights the role of the cost. Additionally, we partially validate our numerical solutions for our optimal control problem with normalized models using the Maximum Principle.20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/107852eng1547-106310.3934/mbe.2017008Maria do Rosário de PinhoFilipa Nunes Nogueirainfo: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:RCAAP2023-11-29T13:12:32Zoai:repositorio-aberto.up.pt:10216/107852Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:35:54.931586Repositório 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 On application of optimal control to SEIR normalized models: Pros and cons
title On application of optimal control to SEIR normalized models: Pros and cons
spellingShingle On application of optimal control to SEIR normalized models: Pros and cons
Maria do Rosário de Pinho
title_short On application of optimal control to SEIR normalized models: Pros and cons
title_full On application of optimal control to SEIR normalized models: Pros and cons
title_fullStr On application of optimal control to SEIR normalized models: Pros and cons
title_full_unstemmed On application of optimal control to SEIR normalized models: Pros and cons
title_sort On application of optimal control to SEIR normalized models: Pros and cons
author Maria do Rosário de Pinho
author_facet Maria do Rosário de Pinho
Filipa Nunes Nogueira
author_role author
author2 Filipa Nunes Nogueira
author2_role author
dc.contributor.author.fl_str_mv Maria do Rosário de Pinho
Filipa Nunes Nogueira
description In this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with L-1 cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with L-1 costs are considered. Our discussion highlights the role of the cost. Additionally, we partially validate our numerical solutions for our optimal control problem with normalized models using the Maximum Principle.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
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 https://hdl.handle.net/10216/107852
url https://hdl.handle.net/10216/107852
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1547-1063
10.3934/mbe.2017008
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
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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
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