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An approach of the exact linearization techniques to analysis of population dynamics of the mosquito Aedes aegypti

dc.contributor.authordos Reis, Célia A. [UNESP]
dc.contributor.authorFlorentino, Helenice de O. [UNESP]
dc.contributor.authorCólon, Diego
dc.contributor.authorRosa, Suélia R. Fleury
dc.contributor.authorCantane, Daniela R. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade de Brasília (UnB)
dc.date.accessioned2018-12-11T17:19:04Z
dc.date.available2018-12-11T17:19:04Z
dc.date.issued2018-05-01
dc.description.abstractDengue fever, chikungunya and zika are caused by different viruses and mainly transmitted by Aedes aegypti mosquitoes. These diseases have received special attention of public health officials due to the large number of infected people in tropical and subtropical countries and the possible sequels that those diseases can cause. In severe cases, the infection can have devastating effects, affecting the central nervous system, muscles, brain and respiratory system, often resulting in death. Vaccines against these diseases are still under development and, therefore, current studies are focused on the treatment of diseases and vector (mosquito) control. This work focuses on this last topic, and presents the analysis of a mathematical model describing the population dynamics of Aedes aegypti, as well as present the design of a control law for the mosquito population (vector control) via exact linearization techniques and optimal control. This control strategy optimizes the use of resources for vector control, and focuses on the aquatic stage of the mosquito life. Theoretical and computational results are also presented.en
dc.description.affiliationDepartamento de Matemática FC UNESP
dc.description.affiliationDepartamento de Bioestatística IB UNESP
dc.description.affiliationLAC - PTC POLI USP
dc.description.affiliationUniversidade de Brasília UnB
dc.description.affiliationUnespDepartamento de Matemática FC UNESP
dc.description.affiliationUnespDepartamento de Bioestatística IB UNESP
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2009/15098-0
dc.description.sponsorshipIdFAPESP: 2014/01604-0
dc.description.sponsorshipIdCNPq: 302454/2016-0
dc.format.extent51-57
dc.identifierhttp://dx.doi.org/10.1016/j.mbs.2017.12.001
dc.identifier.citationMathematical Biosciences, v. 299, p. 51-57.
dc.identifier.doi10.1016/j.mbs.2017.12.001
dc.identifier.file2-s2.0-85044662694.pdf
dc.identifier.issn1879-3134
dc.identifier.issn0025-5564
dc.identifier.scopus2-s2.0-85044662694
dc.identifier.urihttp://hdl.handle.net/11449/176107
dc.language.isoeng
dc.relation.ispartofMathematical Biosciences
dc.relation.ispartofsjr0,663
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAedes aegypti
dc.subjectChikungunya
dc.subjectDengue
dc.subjectDynamic model
dc.subjectExact linearization techniques
dc.subjectZika
dc.titleAn approach of the exact linearization techniques to analysis of population dynamics of the mosquito Aedes aegyptien
dc.typeArtigo
dspace.entity.typePublication
unesp.author.lattes7644869884732752[1]
unesp.author.orcid0000-0003-0981-7001[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Botucatupt
unesp.departmentBioestatística - IBBpt

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