Multiobjective approach to optimal control for a dengue transmission model

Detalhes bibliográficos
Autor(a) principal: Denysiuk, Roman
Data de Publicação: 2015
Outros Autores: Rodrigues, Helena Sofia, Monteiro, M. Teresa T., Costa, Lino, Espírito Santo, Isabel, 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/10773/16484
Resumo: During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical model for the dengue disease transmission and finding the most effective ways of controlling the disease. The model is described by a system of ordinary differential equations representing human and vector dynamics. Multiobjective optimization is applied to find the optimal control strategies, considering the simultaneous minimization of infected humans and costs due to insecticide application. The obtained results show that multiobjective optimization is an effective tool for finding the optimal control. The set of trade-off solutions encompasses a whole range of optimal scenarios, providing valuable information about the dynamics of infection transmissions. The results are discussed for different values of model parameters.
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spelling Multiobjective approach to optimal control for a dengue transmission modelMathematical biosciencesDengueMathematical modelingMultiobjective optimizationOptimal controlDuring the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical model for the dengue disease transmission and finding the most effective ways of controlling the disease. The model is described by a system of ordinary differential equations representing human and vector dynamics. Multiobjective optimization is applied to find the optimal control strategies, considering the simultaneous minimization of infected humans and costs due to insecticide application. The obtained results show that multiobjective optimization is an effective tool for finding the optimal control. The set of trade-off solutions encompasses a whole range of optimal scenarios, providing valuable information about the dynamics of infection transmissions. The results are discussed for different values of model parameters.International Academic Press2016-12-13T14:48:23Z2015-01-01T00:00:00Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16484eng2310-507010.19139/soic.v3i3.144Denysiuk, RomanRodrigues, Helena SofiaMonteiro, M. Teresa T.Costa, LinoEspírito Santo, IsabelTorres, 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:RCAAP2024-05-06T03:58:27Zoai:ria.ua.pt:10773/16484Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-06T03:58:27Repositório 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 Multiobjective approach to optimal control for a dengue transmission model
title Multiobjective approach to optimal control for a dengue transmission model
spellingShingle Multiobjective approach to optimal control for a dengue transmission model
Denysiuk, Roman
Mathematical biosciences
Dengue
Mathematical modeling
Multiobjective optimization
Optimal control
title_short Multiobjective approach to optimal control for a dengue transmission model
title_full Multiobjective approach to optimal control for a dengue transmission model
title_fullStr Multiobjective approach to optimal control for a dengue transmission model
title_full_unstemmed Multiobjective approach to optimal control for a dengue transmission model
title_sort Multiobjective approach to optimal control for a dengue transmission model
author Denysiuk, Roman
author_facet Denysiuk, Roman
Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
Costa, Lino
Espírito Santo, Isabel
Torres, Delfim F. M.
author_role author
author2 Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
Costa, Lino
Espírito Santo, Isabel
Torres, Delfim F. M.
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Denysiuk, Roman
Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
Costa, Lino
Espírito Santo, Isabel
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Mathematical biosciences
Dengue
Mathematical modeling
Multiobjective optimization
Optimal control
topic Mathematical biosciences
Dengue
Mathematical modeling
Multiobjective optimization
Optimal control
description During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical model for the dengue disease transmission and finding the most effective ways of controlling the disease. The model is described by a system of ordinary differential equations representing human and vector dynamics. Multiobjective optimization is applied to find the optimal control strategies, considering the simultaneous minimization of infected humans and costs due to insecticide application. The obtained results show that multiobjective optimization is an effective tool for finding the optimal control. The set of trade-off solutions encompasses a whole range of optimal scenarios, providing valuable information about the dynamics of infection transmissions. The results are discussed for different values of model parameters.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2015
2016-12-13T14:48:23Z
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/10773/16484
url http://hdl.handle.net/10773/16484
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2310-5070
10.19139/soic.v3i3.144
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dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv International Academic Press
publisher.none.fl_str_mv International Academic Press
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
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