Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals

Two stochastic models to study the course of the transient behaviour of the total infectivity present in an infinite population of susceptible individuals are developed. The conditional intensity function of the contagion comprises two components: one is due to the external sources only and the othe...

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Main Authors:	Viswanathan Arunachalam, Liliana Blanco
Format:	Article
Language:	English
Published:	Hindawi Limited 2017-01-01
Series:	Journal of Probability and Statistics
Online Access:	http://dx.doi.org/10.1155/2017/9064821

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spelling	doaj-b87264259ea0449eb6791324e0173ecf2020-11-24T23:41:34ZengHindawi LimitedJournal of Probability and Statistics1687-952X1687-95382017-01-01201710.1155/2017/90648219064821Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible IndividualsViswanathan Arunachalam0Liliana Blanco1Department of Statistics, Universidad Nacional de Colombia, Bogotá, ColombiaDepartment of Statistics, Universidad Nacional de Colombia, Bogotá, ColombiaTwo stochastic models to study the course of the transient behaviour of the total infectivity present in an infinite population of susceptible individuals are developed. The conditional intensity function of the contagion comprises two components: one is due to the external sources only and the other is the contribution of each of the infected persons which is nonstationary in nature. The statistical characteristics of the number of infected individuals at any time are explicitly obtained. Estimation of the model parameters is also indicated.http://dx.doi.org/10.1155/2017/9064821
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Viswanathan Arunachalam Liliana Blanco
spellingShingle	Viswanathan Arunachalam Liliana Blanco Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals Journal of Probability and Statistics
author_facet	Viswanathan Arunachalam Liliana Blanco
author_sort	Viswanathan Arunachalam
title	Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals
title_short	Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals
title_full	Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals
title_fullStr	Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals
title_full_unstemmed	Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals
title_sort	stochastic models for the infectivity function in an infinite population of susceptible individuals
publisher	Hindawi Limited
series	Journal of Probability and Statistics
issn	1687-952X 1687-9538
publishDate	2017-01-01
description	Two stochastic models to study the course of the transient behaviour of the total infectivity present in an infinite population of susceptible individuals are developed. The conditional intensity function of the contagion comprises two components: one is due to the external sources only and the other is the contribution of each of the infected persons which is nonstationary in nature. The statistical characteristics of the number of infected individuals at any time are explicitly obtained. Estimation of the model parameters is also indicated.
url	http://dx.doi.org/10.1155/2017/9064821
work_keys_str_mv	AT viswanathanarunachalam stochasticmodelsfortheinfectivityfunctioninaninfinitepopulationofsusceptibleindividuals AT lilianablanco stochasticmodelsfortheinfectivityfunctioninaninfinitepopulationofsusceptibleindividuals
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Stochastic Models for the Infectivity Function in an Infinite Population of Susceptible Individuals

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