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 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.
Mohamed, Z., & Oraby, T. (2017). Multi-Type Branching Processes Modeling of Nosocomial Epidemics. Stochastics and Quality Control, 32(2), 63–75. https://doi.org/10.1515/eqc-2017-0026
Stochastics and Quality Control