A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants

Detalhes bibliográficos
Autor(a) principal: Camargo, F. A. [UNESP]
Data de Publicação: 2022
Outros Autores: Oliveira, T. M. [UNESP], Rodrigues, D. S., Mancera, P. F. A. [UNESP], Santos, F. L. P. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5540/tcam.2022.023.01.00101
http://hdl.handle.net/11449/236947
Resumo: A 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.
id UNSP_030a48a1a6481147cf44769a8cc01d0c
oai_identifier_str oai:repositorio.unesp.br:11449/236947
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infantssystem of differential equationsglobal analysisvirusinfantnumerical simulationsA 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.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)São Paulo State University (UNESP), Institute of BiosciencesUniversity of Campinas, School of TechnologySão Paulo State University (UNESP), Institute of BiosciencesCAPES: Código de Financiamento 001FAPESP: 2018/03116-3Sociedade Brasileira de Matemática Aplicada e Computacional - SBMACUniversidade Estadual Paulista (UNESP)Universidade Estadual de Campinas (UNICAMP)Camargo, F. A. [UNESP]Oliveira, T. M. [UNESP]Rodrigues, D. S.Mancera, P. F. A. [UNESP]Santos, F. L. P. [UNESP]2022-10-10T13:56:18Z2022-10-10T13:56:18Z2022-04-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article101-115application/pdfhttp://dx.doi.org/10.5540/tcam.2022.023.01.00101Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 23, n. 1, p. 101-115, 2022.2676-0029http://hdl.handle.net/11449/23694710.5540/tcam.2022.023.01.00101S2676-00292022000100101S2676-00292022000100101.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTrends in Computational and Applied Mathematicsinfo:eu-repo/semantics/openAccess2023-10-27T06:12:16Zoai:repositorio.unesp.br:11449/236947Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-27T06:12:16Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
title A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
spellingShingle A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
Camargo, F. A. [UNESP]
system of differential equations
global analysis
virus
infant
numerical simulations
title_short A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
title_full A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
title_fullStr A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
title_full_unstemmed A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
title_sort A Mathematical Model for Accessing Dengue Hemorrhagic Fever in Infants
author Camargo, F. A. [UNESP]
author_facet Camargo, F. A. [UNESP]
Oliveira, T. M. [UNESP]
Rodrigues, D. S.
Mancera, P. F. A. [UNESP]
Santos, F. L. P. [UNESP]
author_role author
author2 Oliveira, T. M. [UNESP]
Rodrigues, D. S.
Mancera, P. F. A. [UNESP]
Santos, F. L. P. [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Camargo, F. A. [UNESP]
Oliveira, T. M. [UNESP]
Rodrigues, D. S.
Mancera, P. F. A. [UNESP]
Santos, F. L. P. [UNESP]
dc.subject.por.fl_str_mv system of differential equations
global analysis
virus
infant
numerical simulations
topic system of differential equations
global analysis
virus
infant
numerical simulations
description A 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.
publishDate 2022
dc.date.none.fl_str_mv 2022-10-10T13:56:18Z
2022-10-10T13:56:18Z
2022-04-04
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.5540/tcam.2022.023.01.00101
Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 23, n. 1, p. 101-115, 2022.
2676-0029
http://hdl.handle.net/11449/236947
10.5540/tcam.2022.023.01.00101
S2676-00292022000100101
S2676-00292022000100101.pdf
url http://dx.doi.org/10.5540/tcam.2022.023.01.00101
http://hdl.handle.net/11449/236947
identifier_str_mv Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 23, n. 1, p. 101-115, 2022.
2676-0029
10.5540/tcam.2022.023.01.00101
S2676-00292022000100101
S2676-00292022000100101.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Trends in Computational and Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 101-115
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
dc.source.none.fl_str_mv SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803649543260078080

Registros relacionados