Optimal and sub-optimal control in Dengue epidemics

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dc.contributor.authorCaetano, MAL
dc.contributor.authorYoneyama, T.
dc.contributor.institutionCiv Engenharia Elect
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-02-26T17:11:58Z
dc.date.accessioned2014-05-20T14:16:05Z
dc.date.available2014-02-26T17:11:58Z
dc.date.available2014-05-20T14:16:05Z
dc.date.issued2001-03-01
dc.description.abstractThis work concerns the application of the optimal control theory to Dengue epidemics. The dynamics of this insect-borne disease is modelled as a set of non-linear ordinary differential equations including the effect of educational campaigns organized to motivate the population to break the reproduction cycle of the mosquitoes by avoiding the accumulation of still water in open-air recipients. The cost functional is such that it reflects a compromise between actual financial spending (in insecticides and educational campaigns) and the population health (which can be objectively measured in terms of, for instance, treatment costs and loss of productivity). The optimal control problem is solved numerically using a multiple shooting method. However, the optimal control policy is difficult to implement by the health authorities because it is not practical to adjust the investment rate continuously in time. Therefore, a suboptimal control policy is computed assuming, as the admissible set, only those controls which are piecewise constant. The performance achieved by the optimal control and the sub-optimal control policies are compared with the cases of control using only insecticides when Breteau Index is greater or equal to 5 and the case of no-control. The results show that the sub-optimal policy yields a substantial reduction in the cost, in terms of the proposed functional, and is only slightly inferior to the optimal control policy. Copyright (C) 2001 John Wiley & Sons, Ltd.en
dc.description.affiliationCiv Engenharia Elect, ITA, BR-12228900 Sao Jose Dos Campos, Brazil
dc.description.affiliationUNESP, Dept Estat Matemat Aplicada & Computac, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Estat Matemat Aplicada & Computac, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent63-73
dc.identifierhttp://dx.doi.org/10.1002/oca.683
dc.identifier.citationOptimal Control Applications & Methods. W Sussex: John Wiley & Sons Ltd, v. 22, n. 2, p. 63-73, 2001.
dc.identifier.doi10.1002/oca.683
dc.identifier.issn0143-2087
dc.identifier.urihttp://hdl.handle.net/11449/24832
dc.identifier.wosWOS:000170305900002
dc.language.isoeng
dc.publisherWiley-Blackwell
dc.relation.ispartofOptimal Control Applications & Methods
dc.relation.ispartofjcr1.614
dc.relation.ispartofsjr0,825
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectoptimal controlpt
dc.subjectsub-optimal controlpt
dc.subjectDenguept
dc.subjectepidemicspt
dc.subjecteducational campaignspt
dc.subjectinsecticidespt
dc.titleOptimal and sub-optimal control in Dengue epidemicsen
dc.typeArtigo
dcterms.licensehttp://olabout.wiley.com/WileyCDA/Section/id-406071.html
dcterms.rightsHolderWiley-Blackwell
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Estatistica, Matemática Aplicada e Computação - IGCE