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Multi-Type Branching Processes Modeling of Nosocomial Epidemics

Author

Listed:
  • 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)

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}}.

Suggested Citation

  • Mohamed Zeinab & Oraby Tamer, 2017. "Multi-Type Branching Processes Modeling of Nosocomial Epidemics," Stochastics and Quality Control, De Gruyter, vol. 32(2), pages 63-75, December.
    • Handle: RePEc:bpj:ecqcon:v:32:y:2017:i:2:p:63-75:n:4
    DOI: 10.1515/eqc-2017-0026
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    References listed on IDEAS

    as
    1. Seth Blumberg & James O Lloyd-Smith, 2013. "Inference of R0 and Transmission Heterogeneity from the Size Distribution of Stuttering Chains," PLOS Computational Biology, Public Library of Science, vol. 9(5), pages 1-17, May.
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