Application of Optimal Control of Infectious Diseases in a Model-Free Scenario

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Autor(es): dc.contributorFederal University of São João del-Rei-
Autor(es): dc.contributorUniversidade Federal de Minas Gerais (UFMG)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorNepomuceno, Erivelton G.-
Autor(es): dc.creatorPeixoto, Márcia L. C.-
Autor(es): dc.creatorLacerda, Márcio J.-
Autor(es): dc.creatorCampanharo, Andriana S. L. O.-
Autor(es): dc.creatorTakahashi, Ricardo H. C.-
Autor(es): dc.creatorAguirre, Luis A.-
Data de aceite: dc.date.accessioned2025-08-21T19:59:42Z-
Data de disponibilização: dc.date.available2025-08-21T19:59:42Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2021-09-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s42979-021-00794-3-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/240816-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/240816-
Descrição: dc.descriptionOptimal control for infectious diseases has received increasing attention over the past few decades. In general, a combination of cost state variables and control effort have been applied as cost indices. Many important results have been reported. Nevertheless, it seems that the interpretation of the optimal control law for an epidemic system has received less attention. In this paper, we have applied Pontryagin’s maximum principle to develop an optimal control law to minimize the number of infected individuals and the vaccination rate. We have adopted the compartmental model SIR to test our technique. We have shown that the proposed control law can give some insights to develop a control strategy in a model-free scenario. Numerical examples show a reduction of 50% in the number of infected individuals when compared with constant vaccination. There is not always a prior knowledge of the number of susceptible, infected, and recovered individuals required to formulate and solve the optimal control problem. In a model-free scenario, a strategy based on the analytic function is proposed, where prior knowledge of the scenario is not necessary. This insight can also be useful after the development of a vaccine to COVID-19, since it shows that a fast and general cover of vaccine worldwide can minimize the number of infected, and consequently the number of deaths. The considered approach is capable of eradicating the disease faster than a constant vaccination control method.-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)-
Descrição: dc.descriptionControl and Modelling Group (GCOM) Department of Electrical Engineering Federal University of São João del-Rei-
Descrição: dc.descriptionGraduate Program in Electrical Engineering (PPGEE) Federal University of Minas Gerais-
Descrição: dc.descriptionDepartment of Biostatistics Institute of Biosciences of Botucatu São Paulo State University-
Descrição: dc.descriptionDepartment of Mathematics Federal University of Minas Gerais-
Descrição: dc.descriptionDepartment of Electronic Engineering Federal University of Minas Gerais-
Descrição: dc.descriptionDepartment of Biostatistics Institute of Biosciences of Botucatu São Paulo State University-
Descrição: dc.descriptionCNPq: 302079/2011-4-
Descrição: dc.descriptionCNPq: 425509/2018-4-
Descrição: dc.descriptionCNPq: 465704/2014-0-
Descrição: dc.descriptionFAPEMIG: APQ-00870-17-
Idioma: dc.languageen-
Relação: dc.relationSN Computer Science-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectComplex systems-
Palavras-chave: dc.subjectCOVID-19-
Palavras-chave: dc.subjectEpidemiology-
Palavras-chave: dc.subjectOptimal control-
Palavras-chave: dc.subjectSIR model-
Palavras-chave: dc.subjectVaccination-
Título: dc.titleApplication of Optimal Control of Infectious Diseases in a Model-Free Scenario-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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