Multi-Type Branching Processes Modeling of Nosocomial Epidemics

Mohamed Zeinab () and Oraby Tamer ()
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Mohamed Zeinab: School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, USA
Oraby Tamer: School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, USA

Stochastics and Quality Control, 2017, vol. 32, issue 2, 63-75

Abstract: Nosocomial epidemics are infectious diseases which spread among different types of susceptible individuals in a health-care facility. To model this type of epidemics, we use a multi-type branching process with a multivariate negative binomial offspring distribution. In particular, we estimate the basic reproduction number R0{R_{0}} and study its relationship with the parameters of the offspring distribution. in case of a single-type epidemic, we investigate the effect of contact tracing on the estimates for R0{R_{0}}.

Keywords: Branching Processes; Nosocomial Epidemics; Bivariate Negative Binomial; Basic Reproduction Number; Tracing (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1515/eqc-2017-0026

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