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

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Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorBordeaux Univ-
Autor(es): dc.contributorUniv Bordeaux-
Autor(es): dc.contributorUniv Cadi Ayyad-
Autor(es): dc.creatorPio Dos Santos, Fernando luiz-
Autor(es): dc.creatorBendahmane, Mostafa-
Autor(es): dc.creatorErraji, Elmahdi-
Autor(es): dc.creatorKarami, Fahd-
Data de aceite: dc.date.accessioned2025-08-21T20:52:59Z-
Data de disponibilização: dc.date.available2025-08-21T20:52:59Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-05-26-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1142/S0218339023300026-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/245309-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/245309-
Descrição: dc.descriptionIn 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.-
Descrição: dc.descriptionFunda��o de Amparo � Pesquisa do Estado de S�o Paulo (FAPESP)-
Descrição: dc.descriptionSao Paulo State Univ UNESP, Inst Biosci Botucatu IBB, BR-18618970 Sao Paulo, Brazil-
Descrição: dc.descriptionBordeaux Univ, INRIA Carmen Bordeaux Sud Ouest, Inst Math Bordeaux IMB, Talence, France-
Descrição: dc.descriptionUniv Bordeaux, Inst Rythmol & Modelisat Cardiaque Liryc Bordeaux, Talence, France-
Descrição: dc.descriptionUniv Cadi Ayyad, Ecole Super Technol Essaouira, BP 383 Essaouira El Jadida, Essaouira, Morocco-
Descrição: dc.descriptionSao Paulo State Univ UNESP, Inst Biosci Botucatu IBB, BR-18618970 Sao Paulo, Brazil-
Descrição: dc.descriptionFAPESP: 2018/03116-3-
Formato: dc.format29-
Idioma: dc.languageen-
Publicador: dc.publisherWorld Scientific Publ Co Pte Ltd-
Relação: dc.relationJournal Of Biological Systems-
???dc.source???: dc.sourceWeb of Science-
Palavras-chave: dc.subjectEpidemic Model-
Palavras-chave: dc.subjectReaction-Diffusion System-
Palavras-chave: dc.subjectAedes-
Palavras-chave: dc.subjectOptimal Control-
Título: dc.titleA CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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