A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.creatorCamargo, F. A.-
Autor(es): dc.creatorOliveira, T. M.-
Autor(es): dc.creatorRodrigues, D. S.-
Autor(es): dc.creatorMancera, P. F. A.-
Autor(es): dc.creatorSantos, F. L. P.-
Data de aceite: dc.date.accessioned2025-08-21T17:03:21Z-
Data de disponibilização: dc.date.available2025-08-21T17:03:21Z-
Data de envio: dc.date.issued2022-10-10-
Data de envio: dc.date.issued2022-10-10-
Data de envio: dc.date.issued2022-04-04-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.5540/tcam.2022.023.01.00101-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/236947-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/236947-
Descrição: dc.descriptionA mathematical model was developed to describe the dynamics of the primary infection of dengue virus in infants who were born to a mother immune to some serotype of the dengue virus. The model is given by a system of nonlinear ordinary differential equations with time-dependent variables for the number of dengue virus antibodies of the infant transferred from their immune, uninfected, and infected monocytes and dengue virus. The mathematical analysis was carried out where the conditions for the existence of the disease-free equilibrium and the endemic equilibrium were established. The numerical simulations were performed considering different scenarios for a basic reproductive number, R 0, illustrating the global convergence of the numerical results for the equilibrium points. The results are in agreement with our derived global stability analysis. It can be concluded that dengue hemorrhagic fever in infants could occur in the peaks observed for the infected monocytes and dengue virus.-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionSão Paulo State University (UNESP), Institute of Biosciences-
Descrição: dc.descriptionUniversity of Campinas, School of Technology-
Descrição: dc.descriptionSão Paulo State University (UNESP), Institute of Biosciences-
Descrição: dc.descriptionCAPES: Código de Financiamento 001-
Descrição: dc.descriptionFAPESP: 2018/03116-3-
Formato: dc.format101-115-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherSociedade Brasileira de Matemática Aplicada e Computacional - SBMAC-
Relação: dc.relationTrends in Computational and Applied Mathematics-
Direitos: dc.rightsinfo:eu-repo/semantics/openAccess-
???dc.source???: dc.sourceSciELO-
Palavras-chave: dc.subjectsystem of differential equations-
Palavras-chave: dc.subjectglobal analysis-
Palavras-chave: dc.subjectvirus-
Palavras-chave: dc.subjectinfant-
Palavras-chave: dc.subjectnumerical simulations-
Título: dc.titleA Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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