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hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
dc.contributor.authorAlmeida, Luis
HAL ID: 6714
ORCID: 0000-0002-3344-0366
hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
dc.contributor.authorBellver, Jesús
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorDuprez, Michel
HAL ID: 738841
ORCID: 0000-0002-2059-2811
hal.structure.identifierInstitut de Recherche Mathématique Avancée [IRMA]
dc.contributor.authorPrivat, Yannick
HAL ID: 183093
ORCID: 0000-0002-2039-7223
dc.date.accessioned2020-04-06T10:07:01Z
dc.date.available2020-04-06T10:07:01Z
dc.date.issued2020
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20612
dc.language.isoenen
dc.subjectWolbachiaen
dc.subjectordinary differential systemsen
dc.subjectoptimal controlen
dc.subjectminimal timeen
dc.subject.ddc515en
dc.titleMinimal cost-time strategies for population replacement using the IITen
dc.typeDocument de travail / Working paper
dc.description.abstractenVector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effective in preventing the transmission of some of these viruses between mosquitoes and humans, making it a promising control tool. The Incompatible Insect Technique (IIT) consists in replacing the wild population by a population carrying the aforementioned bacterium, thereby preventing outbreaks of the associated vector-borne diseases. In this work, we consider a two species model incorporating both Wolbachia infected and wild mosquitoes. Our system can be controlled thanks to a term representing an artificial introduction of Wolbachia-infected mosquitoes. Under the assumption that the birth rate of mosquitoes is high, we may reduce the model to a simpler one on the proportion of infected mosquitoes. We investigate minimal cost-time strategies to achieve a population replacement both analytically and numerically for the simplified 1D model and only numerically for the full 2D systemen
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages15en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02532677en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2020-04
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2020-04-06T10:02:08Z
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