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Publicação:
Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour

dc.contributor.authorLi, Lin Lin
dc.contributor.authorFerreira, Cláudia Pio [UNESP]
dc.contributor.authorAinseba, Bedreddine
dc.contributor.institutionUniversity of Shanghai for Science and Technology
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversité de Bordeaux
dc.date.accessioned2022-05-01T13:41:39Z
dc.date.available2022-05-01T13:41:39Z
dc.date.issued2022-06-15
dc.description.abstractIn this paper, we investigate the local exact controllability of an age structured problem modelling the ability of malaria vectors to shift their biting time to avoid the stressful environmental conditions generated by the use of indoor residual spraying (IRS) and insecticide-treated nets (ITNs). We establish a new Carleman's inequality for our age diffusive model with nonlocal birth process and periodic biting time boundary conditions. Some estimates of the theory of parabolic boundary value problems in Lk are used to get the controllability.en
dc.description.affiliationCollege of Science University of Shanghai for Science and Technology
dc.description.affiliationInstitute of Biosciences São Paulo State University (UNESP)
dc.description.affiliationInstitut de Mathématiques de Bordeaux Université de Bordeaux
dc.description.affiliationUnespInstitute of Biosciences São Paulo State University (UNESP)
dc.identifierhttp://dx.doi.org/10.1016/j.amc.2022.127025
dc.identifier.citationApplied Mathematics and Computation, v. 423.
dc.identifier.doi10.1016/j.amc.2022.127025
dc.identifier.issn0096-3003
dc.identifier.scopus2-s2.0-85124802911
dc.identifier.urihttp://hdl.handle.net/11449/234154
dc.language.isoeng
dc.relation.ispartofApplied Mathematics and Computation
dc.sourceScopus
dc.subjectAn age structured model
dc.subjectBiting time shift
dc.subjectLocal exact controllability
dc.titleLocal exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviouren
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Botucatupt
unesp.departmentBioestatística - IBBpt

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