Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana

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Zika virus spreads to people primarily through the bite of an infected Aedes aegypti species mosquito. But it Zika can also be passed through sex from an infected to his or her sex partners and it can be spread from a pregnant woman to her fetus. Zika continues to spreading geographically to areas w...

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Detalles Bibliográficos
Autores: Delgado Moya, Erick Manuel, Marrero Severo, Aymée
Formato: artículo
Fecha de Publicación:2019
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/2628
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628
Nivel de acceso:acceso abierto
Materia:Diffusion
epidemic
model
Zika
Difusión
epidemia
modelo
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spelling Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa AnaMathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa AnaDelgado Moya, Erick ManuelMarrero Severo, AyméeDiffusionepidemicmodelZikaDifusiónepidemiamodeloZikaZika virus spreads to people primarily through the bite of an infected Aedes aegypti species mosquito. But it Zika can also be passed through sex from an infected to his or her sex partners and it can be spread from a pregnant woman to her fetus. Zika continues to spreading geographically to areas where competent vectors are present. Although a decline in cases of Zika virus infection has been reported in some countries, or in some parts of countries, vigilance needs to remain high. In this work, we propose a mathematical model that uses diffusion-advection equations to study the impact of the Zika epidemic. We present a numerical scheme linking finite elements (FEM) with finite differences to solve the model. The computer simulations are performed for Paramaribo and Santa Ana that have different demographic characteristics and allow us to extend the study to other regions.El virus del Zika se propaga a las personas principalmente a través de la picadura de un mosquito de la especie Aedes Aegypti infectado. El Zika también puede transmitirse a través del sexo de una persona infectada a sus parejas sexuales y se puede transmitir de una mujer embarazada a su feto. El Zika continúa expandiéndose geográficamente a áreas donde están presentes vectores competentes. Si bien se ha informado una disminución en los casos de infección por el virus del Zika en algunos países o en algunas partes de los países, la vigilancia debe mantenerse alta. En este trabajo proponemos un modelo matemático que utiliza ecuaciones de difusión-advección para estudiar el impacto de la epidemia de Zika. Presentamos un esquema numérico vinculando elementos finitos (FEM) con diferencias finitas para resolver el modelo. Las simulaciones computacionales se realizan para Paramaribo y Santa Ana, que tienen diferentes características demográficas y nos permiten ampliar el estudio a otras regiones.National University of Trujillo - Academic Department of Mathematics2019-12-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdftext/htmlhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 196-203Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 196-203Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 196-2032411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628/2647https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628/2667Derechos de autor 2019 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/26282022-10-21T18:52:01Z
dc.title.none.fl_str_mv Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
title Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
spellingShingle Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
Delgado Moya, Erick Manuel
Diffusion
epidemic
model
Zika
Difusión
epidemia
modelo
Zika
title_short Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
title_full Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
title_fullStr Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
title_full_unstemmed Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
title_sort Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
dc.creator.none.fl_str_mv Delgado Moya, Erick Manuel
Marrero Severo, Aymée
author Delgado Moya, Erick Manuel
author_facet Delgado Moya, Erick Manuel
Marrero Severo, Aymée
author_role author
author2 Marrero Severo, Aymée
author2_role author
dc.subject.none.fl_str_mv Diffusion
epidemic
model
Zika
Difusión
epidemia
modelo
Zika
topic Diffusion
epidemic
model
Zika
Difusión
epidemia
modelo
Zika
description Zika virus spreads to people primarily through the bite of an infected Aedes aegypti species mosquito. But it Zika can also be passed through sex from an infected to his or her sex partners and it can be spread from a pregnant woman to her fetus. Zika continues to spreading geographically to areas where competent vectors are present. Although a decline in cases of Zika virus infection has been reported in some countries, or in some parts of countries, vigilance needs to remain high. In this work, we propose a mathematical model that uses diffusion-advection equations to study the impact of the Zika epidemic. We present a numerical scheme linking finite elements (FEM) with finite differences to solve the model. The computer simulations are performed for Paramaribo and Santa Ana that have different demographic characteristics and allow us to extend the study to other regions.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-24
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628/2647
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628/2667
dc.rights.none.fl_str_mv Derechos de autor 2019 Selecciones Matemáticas
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2019 Selecciones Matemáticas
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 196-203
Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 196-203
Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 196-203
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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