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A continuous spatial and temporal mathematical model for assessing the distribution of dengue in Brazil with control

hal.structure.identifierUniversidade Estadual Paulista Júlio de Mesquita Filho = São Paulo State University [UNESP]
dc.contributor.authorDOS SANTOS, Fernando Luiz Pio
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierIHU-LIRYC
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierEcole Supérieure de Technologie d'Essaouira
dc.contributor.authorERRAJI, Elmahdi
hal.structure.identifierEcole Supérieure de Technologie d'Essaouira
dc.contributor.authorKARAMI, Fahd
dc.date.accessioned2024-04-04T02:33:53Z
dc.date.available2024-04-04T02:33:53Z
dc.date.issued2023-06-13
dc.identifier.issn0218-3390
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190516
dc.description.abstractEnIn 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.
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.subject.enEpidemic Model
dc.subject.enReaction-Diffusion System
dc.subject.enAedes
dc.subject.enOptimal Control
dc.title.enA continuous spatial and temporal mathematical model for assessing the distribution of dengue in Brazil with control
dc.typeArticle de revue
dc.identifier.doi10.1142/S0218339023300026
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.journalJournal of Biological Systems
bordeaux.page345-373
bordeaux.volume31
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue02
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-04127091
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04127091v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Biological%20Systems&rft.date=2023-06-13&rft.volume=31&rft.issue=02&rft.spage=345-373&rft.epage=345-373&rft.eissn=0218-3390&rft.issn=0218-3390&rft.au=DOS%20SANTOS,%20Fernando%20Luiz%20Pio&BENDAHMANE,%20Mostafa&ERRAJI,%20Elmahdi&KARAMI,%20Fahd&rft.genre=article


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