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Global optimal vaccination in the SIR model: Properties of the value function and application to cost-effectiveness analysis

hal.structure.identifier
dc.contributor.authorLaguzet, Laetitia
HAL ID: 10765		*
hal.structure.identifier
dc.contributor.authorTurinici, Gabriel
HAL ID: 16
ORCID: 0000-0003-2713-006X		*
dc.date.accessioned2014-04-03T11:31:55Z
dc.date.available2014-04-03T11:31:55Z
dc.date.issued2015
dc.identifier.issn0025-5564
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13051
dc.language.isoenen
dc.subjectvaccination region
dc.subjectoptimal vaccination
dc.subjectSIR model
dc.subjectimmunization region
dc.subject.ddc519en
dc.titleGlobal optimal vaccination in the SIR model: Properties of the value function and application to cost-effectiveness analysis
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper focuses on optimal vaccination policies for a SIR model; the total cost of the disease is optimized with respect to the cost of a vaccination strategy. We show that the value function is the unique viscosity solution of a HJB equation. This allows to nd the global optimal vaccination policy. At odds with existing literature, it is seen that the value function is not always smooth (sometimes only Lipschitz) and the optimal vaccination policies are not unique. Moreover we rigorously analyze the situation when vaccination can be modeled as instantaneous (with respect to the time evolution of the epidemic) and identify the global optimum solutions.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameMathematical Biosciences
dc.relation.isversionofjnlvol263
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages180-197
dc.relation.isversionofdoi10.1016/j.mbs.2015.03.002
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-00966622
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-03-10T13:50:30Z
hal.author.functionaut
hal.author.functionaut


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