Multiobjective approach to optimal control for a dengue transmission model
Autor(a) principal: | |
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Data de Publicação: | 2015 |
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/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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
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 |
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 |
_version_ |
1817543563589713920 |