Multi-Type Branching Processes Model of Nosocomial Epidemic

Author

Zeinab Nageh Mohamed, The University of Texas Rio Grande Valley

Date of Award

5-2017

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Tamer Oraby

Second Advisor

Dr. Santanu Chakraborty

Third Advisor

Dr. George Yanev

Abstract

The potency of an infectious disease to spread between different types of susceptible individuals in a hospital determines the fate of controlling nosocomial epidemics. I use a multi-type branching process with a joint negative binomial offspring distribution to study nosocomial epidemics. In particular, I estimate the basic reproduction number R0 and study its relationship with the offspring distribution’s parameters at different and fixed number of generations. Also, I study the effect of contact tracing on estimates of R0.

Comments

Copyright 2017 Zeinab Nageh Mohamed. All Rights Reserved.

https://www.proquest.com/dissertations-theses/multi-type-branching-processes-model-nosocomial/docview/1938672790/se-2?accountid=7119

Recommended Citation

Mohamed, Zeinab Nageh, "Multi-Type Branching Processes Model of Nosocomial Epidemic" (2017). Theses and Dissertations. 198.
https://scholarworks.utrgv.edu/etd/198