Publicação:
A CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL

dc.contributor.authorPio Dos Santos, Fernando luiz [UNESP]
dc.contributor.authorBendahmane, Mostafa
dc.contributor.authorErraji, Elmahdi
dc.contributor.authorKarami, Fahd
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionBordeaux Univ
dc.contributor.institutionUniv Bordeaux
dc.contributor.institutionUniv Cadi Ayyad
dc.date.accessioned2023-07-29T11:51:07Z
dc.date.available2023-07-29T11:51:07Z
dc.date.issued2023-05-26
dc.description.abstractIn this paper, we developed an optimal control of a reaction-diffusion mathematical model, describing the spatial spread of dengue infection. Compartments for human and vector populations are considered in the model, including a compartment for the aquatic phase of mosquitoes. This enabled us to discuss the vertical transmission effects on the spread of the disease in a two-dimensional domain, using demographic data for different scenarios. The model was analyzed, establishing the existence and convergence of the weak solution for the model. The convergence of the numerical scheme to the weak solution was proved. For numerical approximation, we adopted the finite element scheme to solve direct and adjoint state systems. We also used the nonlinear gradient descent method to solve the optimal control problem, where the optimal management of government investment was proposed and leads to more effective dengue fever infection control. These results may help us understand the complex dynamics driven by dengue and assess the public health policies in the control of the disease.en
dc.description.affiliationSao Paulo State Univ UNESP, Inst Biosci Botucatu IBB, BR-18618970 Sao Paulo, Brazil
dc.description.affiliationBordeaux Univ, INRIA Carmen Bordeaux Sud Ouest, Inst Math Bordeaux IMB, Talence, France
dc.description.affiliationUniv Bordeaux, Inst Rythmol & Modelisat Cardiaque Liryc Bordeaux, Talence, France
dc.description.affiliationUniv Cadi Ayyad, Ecole Super Technol Essaouira, BP 383 Essaouira El Jadida, Essaouira, Morocco
dc.description.affiliationUnespSao Paulo State Univ UNESP, Inst Biosci Botucatu IBB, BR-18618970 Sao Paulo, Brazil
dc.description.sponsorshipFunda��o de Amparo � Pesquisa do Estado de S�o Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 2018/03116-3
dc.format.extent29
dc.identifierhttp://dx.doi.org/10.1142/S0218339023300026
dc.identifier.citationJournal of Biological Systems. Singapore: World Scientific Publ Co Pte Ltd, 29 p., 2023.
dc.identifier.doi10.1142/S0218339023300026
dc.identifier.issn0218-3390
dc.identifier.urihttp://hdl.handle.net/11449/245309
dc.identifier.wosWOS:000995677300001
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofJournal Of Biological Systems
dc.sourceWeb of Science
dc.subjectEpidemic Model
dc.subjectReaction-Diffusion System
dc.subjectAedes
dc.subjectOptimal Control
dc.titleA CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROLen
dc.typeArtigo
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
dspace.entity.typePublication

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