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

Detalhes bibliográficos
Autor(a) principal: Mateus, Joaquim
Data de Publicação: 2018
Outros Autores: Rebelo, Paulo, Rosa, Silvério, Silva, César, Torres, Delfim
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10314/4607
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 systemVaccination and treatment controlOptimal controlNumerical simulationsWe 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.2018-12-19T17:49:21Z2018-12-192018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10314/4607http://hdl.handle.net/10314/4607eng1937-1632Mateus, JoaquimRebelo, PauloRosa, SilvérioSilva, CésarTorres, Delfiminfo: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:RCAAP2024-01-14T02:58:41Zoai:bdigital.ipg.pt:10314/4607Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:43:35.020496Repositório 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
Epidemic model
Non-autonomous control system
Vaccination and treatment control
Optimal control
Numerical simulations
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
author_facet Mateus, Joaquim
Rebelo, Paulo
Rosa, Silvério
Silva, César
Torres, Delfim
author_role author
author2 Rebelo, Paulo
Rosa, Silvério
Silva, César
Torres, Delfim
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Mateus, Joaquim
Rebelo, Paulo
Rosa, Silvério
Silva, César
Torres, Delfim
dc.subject.por.fl_str_mv Epidemic model
Non-autonomous control system
Vaccination and treatment control
Optimal control
Numerical simulations
topic Epidemic model
Non-autonomous control system
Vaccination and treatment control
Optimal control
Numerical simulations
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 2018-12-19T17:49:21Z
2018-12-19
2018-01-01T00:00:00Z
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 http://hdl.handle.net/10314/4607
http://hdl.handle.net/10314/4607
url http://hdl.handle.net/10314/4607
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1937-1632
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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
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