Optimization of Dengue epidemics: a test case with different discretization schemes

Detalhes bibliográficos
Autor(a) principal: Rodrigues, Helena Sofia
Data de Publicação: 2009
Outros Autores: Monteiro, M. Teresa T., Torres, Delfim F. M.
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/1822/10833
Resumo: The incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model includes the dynamic of Dengue mosquito, the affected persons, the people's motivation to combat the mosquito and the inherent social cost of the disease, such as cost with ill individuals, educations and sanitary campaigns. The dynamic model presents a set of nonlinear ordinary differential equations. The problem was discretized through Euler and Runge Kutta schemes, and solved using nonlinear optimization packages. The computational results as well as the main conclusions are shown.
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spelling Optimization of Dengue epidemics: a test case with different discretization schemesOptimal controlDengueNonlinear ProgrammingEuler SchemeRunge Kutta SchemeScience & TechnologyThe incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model includes the dynamic of Dengue mosquito, the affected persons, the people's motivation to combat the mosquito and the inherent social cost of the disease, such as cost with ill individuals, educations and sanitary campaigns. The dynamic model presents a set of nonlinear ordinary differential equations. The problem was discretized through Euler and Runge Kutta schemes, and solved using nonlinear optimization packages. The computational results as well as the main conclusions are shown.Fundação para a Ciência e a Tecnologia (FCT) - Bolsa de doutoramentp SFRH/BD/33384/2008AIP PublishingUniversidade do MinhoRodrigues, Helena SofiaMonteiro, M. Teresa T.Torres, Delfim F. M.20092009-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/10833engSIMOS, Theodore E. ; PSIHOYIOS, George ; TSITOURAS, Ch. – “Numerical Analysis and Applied Mathematics : proceedings of International Conference on Numerical …, Rethymno, Crete, Greece, 2009.” Melville : American Institute of Physics, 2009. ISBN 978-0-7354-0709. Vol. 2, 1385-1388.978-0-7354-07090094-243X10.1063/1.3241345info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T07:30:56Zoai:repositorium.sdum.uminho.pt:1822/10833Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:30:02.142794Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Optimization of Dengue epidemics: a test case with different discretization schemes
title Optimization of Dengue epidemics: a test case with different discretization schemes
spellingShingle Optimization of Dengue epidemics: a test case with different discretization schemes
Rodrigues, Helena Sofia
Optimal control
Dengue
Nonlinear Programming
Euler Scheme
Runge Kutta Scheme
Science & Technology
title_short Optimization of Dengue epidemics: a test case with different discretization schemes
title_full Optimization of Dengue epidemics: a test case with different discretization schemes
title_fullStr Optimization of Dengue epidemics: a test case with different discretization schemes
title_full_unstemmed Optimization of Dengue epidemics: a test case with different discretization schemes
title_sort Optimization of Dengue epidemics: a test case with different discretization schemes
author Rodrigues, Helena Sofia
author_facet Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
Torres, Delfim F. M.
author_role author
author2 Monteiro, M. Teresa T.
Torres, Delfim F. M.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Optimal control
Dengue
Nonlinear Programming
Euler Scheme
Runge Kutta Scheme
Science & Technology
topic Optimal control
Dengue
Nonlinear Programming
Euler Scheme
Runge Kutta Scheme
Science & Technology
description The incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model includes the dynamic of Dengue mosquito, the affected persons, the people's motivation to combat the mosquito and the inherent social cost of the disease, such as cost with ill individuals, educations and sanitary campaigns. The dynamic model presents a set of nonlinear ordinary differential equations. The problem was discretized through Euler and Runge Kutta schemes, and solved using nonlinear optimization packages. The computational results as well as the main conclusions are shown.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/10833
url http://hdl.handle.net/1822/10833
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv SIMOS, Theodore E. ; PSIHOYIOS, George ; TSITOURAS, Ch. – “Numerical Analysis and Applied Mathematics : proceedings of International Conference on Numerical …, Rethymno, Crete, Greece, 2009.” Melville : American Institute of Physics, 2009. ISBN 978-0-7354-0709. Vol. 2, 1385-1388.
978-0-7354-0709
0094-243X
10.1063/1.3241345
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 AIP Publishing
publisher.none.fl_str_mv AIP Publishing
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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