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

Autor: Viswanathan Arunachalam, Liliana Blanco
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of Probability and Statistics, Vol 2017 (2017)
Druh dokumentu: article
ISSN: 1687-952X
1687-9538
DOI: 10.1155/2017/9064821
Popis: 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.
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