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

Detalhes bibliográficos
Autor(a) principal: Li, Lin Lin
Data de Publicação: 2022
Outros Autores: Ferreira, Cláudia Pio [UNESP], Ainseba, Bedreddine
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.amc.2022.127025
http://hdl.handle.net/11449/234154
Resumo: In 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.
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spelling Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviourAn age structured modelBiting time shiftLocal exact controllabilityIn 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.College of Science University of Shanghai for Science and TechnologyInstitute of Biosciences São Paulo State University (UNESP)Institut de Mathématiques de Bordeaux Université de BordeauxInstitute of Biosciences São Paulo State University (UNESP)University of Shanghai for Science and TechnologyUniversidade Estadual Paulista (UNESP)Université de BordeauxLi, Lin LinFerreira, Cláudia Pio [UNESP]Ainseba, Bedreddine2022-05-01T13:41:39Z2022-05-01T13:41:39Z2022-06-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.amc.2022.127025Applied Mathematics and Computation, v. 423.0096-3003http://hdl.handle.net/11449/23415410.1016/j.amc.2022.1270252-s2.0-85124802911Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics and Computationinfo:eu-repo/semantics/openAccess2022-05-01T13:41:39Zoai:repositorio.unesp.br:11449/234154Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-05-01T13:41:39Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
spellingShingle Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
Li, Lin Lin
An age structured model
Biting time shift
Local exact controllability
title_short Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_full Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_fullStr Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_full_unstemmed Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
title_sort Local exact controllability of an age structured problem modelling phenotypic plasticity in mosquito behaviour
author Li, Lin Lin
author_facet Li, Lin Lin
Ferreira, Cláudia Pio [UNESP]
Ainseba, Bedreddine
author_role author
author2 Ferreira, Cláudia Pio [UNESP]
Ainseba, Bedreddine
author2_role author
author
dc.contributor.none.fl_str_mv University of Shanghai for Science and Technology
Universidade Estadual Paulista (UNESP)
Université de Bordeaux
dc.contributor.author.fl_str_mv Li, Lin Lin
Ferreira, Cláudia Pio [UNESP]
Ainseba, Bedreddine
dc.subject.por.fl_str_mv An age structured model
Biting time shift
Local exact controllability
topic An age structured model
Biting time shift
Local exact controllability
description In 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.
publishDate 2022
dc.date.none.fl_str_mv 2022-05-01T13:41:39Z
2022-05-01T13:41:39Z
2022-06-15
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.amc.2022.127025
Applied Mathematics and Computation, v. 423.
0096-3003
http://hdl.handle.net/11449/234154
10.1016/j.amc.2022.127025
2-s2.0-85124802911
url http://dx.doi.org/10.1016/j.amc.2022.127025
http://hdl.handle.net/11449/234154
identifier_str_mv Applied Mathematics and Computation, v. 423.
0096-3003
10.1016/j.amc.2022.127025
2-s2.0-85124802911
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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