Optimal control of non-autonomous SEIRS models with vaccination and treatment

Detalhes bibliográficos
Autor(a) principal: Mateus, Joaquim P.
Data de Publicação: 2018
Outros Autores: Rebelo, Paulo, Rosa, Silvério, Silva, César M., 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/10773/24517
Resumo: We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove existence and uniqueness results for our problem and, for the case of mass-action incidence, we present some simulation results designed to compare an autonomous and corresponding periodic model, as well as the controlled versus uncontrolled models
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spelling Optimal control of non-autonomous SEIRS models with vaccination and treatmentEpidemic modelNon-autonomous control systemNumerical simulationsVaccination and treatment controlOptimal controlWe study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove existence and uniqueness results for our problem and, for the case of mass-action incidence, we present some simulation results designed to compare an autonomous and corresponding periodic model, as well as the controlled versus uncontrolled modelsAmerican Institute of Mathematical Sciences2018-10-30T15:25:55Z2018-12-06T00:00:00Z2018-12-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/24517eng1937-163210.3934/dcdss.2018067Mateus, Joaquim P.Rebelo, PauloRosa, SilvérioSilva, César M.Torres, 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:RCAAP2024-02-22T11:47:48Zoai:ria.ua.pt:10773/24517Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:58:02.776127Repositório 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 non-autonomous SEIRS models with vaccination and treatment
title Optimal control of non-autonomous SEIRS models with vaccination and treatment
spellingShingle Optimal control of non-autonomous SEIRS models with vaccination and treatment
Mateus, Joaquim P.
Epidemic model
Non-autonomous control system
Numerical simulations
Vaccination and treatment control
Optimal control
title_short Optimal control of non-autonomous SEIRS models with vaccination and treatment
title_full Optimal control of non-autonomous SEIRS models with vaccination and treatment
title_fullStr Optimal control of non-autonomous SEIRS models with vaccination and treatment
title_full_unstemmed Optimal control of non-autonomous SEIRS models with vaccination and treatment
title_sort Optimal control of non-autonomous SEIRS models with vaccination and treatment
author Mateus, Joaquim P.
author_facet Mateus, Joaquim P.
Rebelo, Paulo
Rosa, Silvério
Silva, César M.
Torres, Delfim F. M.
author_role author
author2 Rebelo, Paulo
Rosa, Silvério
Silva, César M.
Torres, Delfim F. M.
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Mateus, Joaquim P.
Rebelo, Paulo
Rosa, Silvério
Silva, César M.
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Epidemic model
Non-autonomous control system
Numerical simulations
Vaccination and treatment control
Optimal control
topic Epidemic model
Non-autonomous control system
Numerical simulations
Vaccination and treatment control
Optimal control
description We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove existence and uniqueness results for our problem and, for the case of mass-action incidence, we present some simulation results designed to compare an autonomous and corresponding periodic model, as well as the controlled versus uncontrolled models
publishDate 2018
dc.date.none.fl_str_mv 2018-10-30T15:25:55Z
2018-12-06T00:00:00Z
2018-12-06
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/10773/24517
url http://hdl.handle.net/10773/24517
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1937-1632
10.3934/dcdss.2018067
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.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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
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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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