Modelado matemático de la transmisión de la gripe AH1N1

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Main Author: Elmer de la Pava Salgado
Format: Artículo científico
Language:es
Published: Escuela Regional de Matemáticas 2010
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author Elmer de la Pava Salgado
author_facet Elmer de la Pava Salgado
contents Modelado matemático de la transmisión de la gripe AH1N1 Elmer de la Pava Salgado Física, Astronomía y Matemáticas Model infectious influenza A Human influenza is transmitted directly from an ill person to a healthy one, through air, during the symptomatic period of the disease. The virulence and antigenicity of the virus, host immunity and the environment interact with each other, afecting the person to person transmission of the virus. The main hypothesis of this model is that infection is initiated only by foreignersinfected and that infectious natives produce new cases. The population has been divided into the following epidemiological classes or subgroups: Susceptible S, Latent (L, infected butnot infectious), infectious I and removed R. From the systemic model a system of ordinary diferential equations discribing these interactions has been obtained. A qualitative analysis of the equilibrians has been made. We also have calculated the besid repreoductive number, R0, which is a classic measure of the trasmission of and infections isease and, from a biological point of view, is to dened as the number of secundary cases that come about when a typical infected individual is inserted in a fully suceptible host population during its efective period ofinfectivity. If R0 < 1, the disease dies out. If R0 > 1, there is an outbreak of the disease. 2010 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46813351002 es http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XVIII
format Artículo científico
id redalyc_46813351002
institution Redalyc
language es
publishDate 2010
publisher Escuela Regional de Matemáticas
spellingShingle Modelado matemático de la transmisión de la gripe AH1N1
Elmer de la Pava Salgado
Física, Astronomía y Matemáticas
Model
infectious
influenza A
Modelado matemático de la transmisión de la gripe AH1N1 Elmer de la Pava Salgado Física, Astronomía y Matemáticas Model infectious influenza A Human influenza is transmitted directly from an ill person to a healthy one, through air, during the symptomatic period of the disease. The virulence and antigenicity of the virus, host immunity and the environment interact with each other, afecting the person to person transmission of the virus. The main hypothesis of this model is that infection is initiated only by foreignersinfected and that infectious natives produce new cases. The population has been divided into the following epidemiological classes or subgroups: Susceptible S, Latent (L, infected butnot infectious), infectious I and removed R. From the systemic model a system of ordinary diferential equations discribing these interactions has been obtained. A qualitative analysis of the equilibrians has been made. We also have calculated the besid repreoductive number, R0, which is a classic measure of the trasmission of and infections isease and, from a biological point of view, is to dened as the number of secundary cases that come about when a typical infected individual is inserted in a fully suceptible host population during its efective period ofinfectivity. If R0 < 1, the disease dies out. If R0 > 1, there is an outbreak of the disease. 2010 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46813351002 es http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XVIII
title Modelado matemático de la transmisión de la gripe AH1N1
topic Física, Astronomía y Matemáticas
Model
infectious
influenza A
url https://www.redalyc.org/articulo.oa?id=46813351002