Term of Award

Fall 2022

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


Department of Mathematical Sciences

Committee Chair

Divine Wanduku

Committee Member 1

Charles Champ

Committee Member 2

Andrew Sills


We present survival lifetime models for vaccination, recovery and disease related deaths in a class of SVIS (Susceptible-Vaccinated-Infectious-Susceptible) epidemic models. We consider competing risks for the vaccination strategy in a parallel survival lifetime system. Applying a probability modeling approach for the SVIS epidemic dynamics, we obtain a non-autonomous system of differential equations for the SVIS infectious disease dynamics, where the system coefficients are hazard functions of the lifetime distributions. By employing the asymptotic properties of the hazard functions, we characterize the asymptotic steady state behaviors of the SVIS model. Applications of this study are given for an influenza epidemic in Georgia, U.S.A.

OCLC Number


Research Data and Supplementary Material


Available for download on Sunday, November 07, 2027