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

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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Main Authors: Erick Manuel Delgado Moya, Aymée Marrero Severo
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2019-12-01
Series:Selecciones Matemáticas
Subjects:
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628
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author Erick Manuel Delgado Moya
Aymée Marrero Severo
author_facet Erick Manuel Delgado Moya
Aymée Marrero Severo
author_sort Erick Manuel Delgado Moya
collection DOAJ
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.
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spelling doaj.art-a776847cd8e6436abe26f09a3e096e5b2022-12-22T03:05:04ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832019-12-0160219620310.17268/sel.mat.2019.02.06Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa AnaErick Manuel Delgado Moya0Aymée Marrero Severo1IME- University of Sao Paulo, Rua do Matao, 1010, SP-BrazilMATCOM- University of Havana, Edificio Felipe Poey. San Lázaro y L. Colina Universitaria, Havana-CubaZika 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.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628diffusionepidemicmodelzika
spellingShingle Erick Manuel Delgado Moya
Aymée Marrero Severo
Mathematical model for the study of the diffusion of Zika. Computational experimentation in Paramaribo and Santa Ana
Selecciones Matemáticas
diffusion
epidemic
model
zika
title 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_short 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
topic diffusion
epidemic
model
zika
url http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2628
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