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Optimal control of an age-structured problem modelling mosquito plasticity

Bibliographic Details
Main Author: Li, Lin Lin
Publication Date: 2019
Other Authors: Ferreira, Cláudia Pio [UNESP], Ainseba, Bedreddine
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.1016/j.nonrwa.2018.06.014
http://hdl.handle.net/11449/189747
Summary: In this paper, we study an age-structured model which has strong biological background about mosquito plasticity. Firstly, we prove the existence of solutions and the comparison principle for a generalized system. Then, we prove the existence of the optimal control for the best harvesting. Finally, we establish necessary optimality conditions.
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spelling Optimal control of an age-structured problem modelling mosquito plasticityBiological modellingOptimal controlOptimality conditionsIn this paper, we study an age-structured model which has strong biological background about mosquito plasticity. Firstly, we prove the existence of solutions and the comparison principle for a generalized system. Then, we prove the existence of the optimal control for the best harvesting. Finally, we establish necessary optimality conditions.Institut de Mathématiques de Bordeaux Université de BordeauxSão Paulo State University (UNESP) Institute of Biosciences Department of BiostatisticsSão Paulo State University (UNESP) Institute of Biosciences Department of BiostatisticsUniversité de BordeauxUniversidade Estadual Paulista (Unesp)Li, Lin LinFerreira, Cláudia Pio [UNESP]Ainseba, Bedreddine2019-10-06T16:50:53Z2019-10-06T16:50:53Z2019-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article157-169http://dx.doi.org/10.1016/j.nonrwa.2018.06.014Nonlinear Analysis: Real World Applications, v. 45, p. 157-169.1468-1218http://hdl.handle.net/11449/18974710.1016/j.nonrwa.2018.06.0142-s2.0-8504974322620527496982046170000-0002-9404-6098Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Analysis: Real World Applicationsinfo:eu-repo/semantics/openAccess2024-10-08T14:58:35Zoai:repositorio.unesp.br:11449/189747Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462024-10-08T14:58:35Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Optimal control of an age-structured problem modelling mosquito plasticity
title Optimal control of an age-structured problem modelling mosquito plasticity
spellingShingle Optimal control of an age-structured problem modelling mosquito plasticity
Li, Lin Lin
Biological modelling
Optimal control
Optimality conditions
title_short Optimal control of an age-structured problem modelling mosquito plasticity
title_full Optimal control of an age-structured problem modelling mosquito plasticity
title_fullStr Optimal control of an age-structured problem modelling mosquito plasticity
title_full_unstemmed Optimal control of an age-structured problem modelling mosquito plasticity
title_sort Optimal control of an age-structured problem modelling mosquito plasticity
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 Université de Bordeaux
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Li, Lin Lin
Ferreira, Cláudia Pio [UNESP]
Ainseba, Bedreddine
dc.subject.por.fl_str_mv Biological modelling
Optimal control
Optimality conditions
topic Biological modelling
Optimal control
Optimality conditions
description In this paper, we study an age-structured model which has strong biological background about mosquito plasticity. Firstly, we prove the existence of solutions and the comparison principle for a generalized system. Then, we prove the existence of the optimal control for the best harvesting. Finally, we establish necessary optimality conditions.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T16:50:53Z
2019-10-06T16:50:53Z
2019-02-01
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.nonrwa.2018.06.014
Nonlinear Analysis: Real World Applications, v. 45, p. 157-169.
1468-1218
http://hdl.handle.net/11449/189747
10.1016/j.nonrwa.2018.06.014
2-s2.0-85049743226
2052749698204617
0000-0002-9404-6098
url http://dx.doi.org/10.1016/j.nonrwa.2018.06.014
http://hdl.handle.net/11449/189747
identifier_str_mv Nonlinear Analysis: Real World Applications, v. 45, p. 157-169.
1468-1218
10.1016/j.nonrwa.2018.06.014
2-s2.0-85049743226
2052749698204617
0000-0002-9404-6098
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinear Analysis: Real World Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 157-169
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 repositoriounesp@unesp.br
_version_ 1834483629516914688

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