Date of Award
Master of Science (MS)
College of Science and Mathematics
Applied Mathematics and Statistics
Thesis Sponsor/Dissertation Chair/Project Chair
Zoonoses--Mathematical models, Ebola virus disease--Mathematical models, Stochastic models
We provide an overview of the mathematical modeling of deterministic and stochastic infectious disease models. These models enable one to understand the outbreak, spread, and extinction of disease. We then focus on stochastic models with a disease reservoir to understand outbreak vulnerability for zoonotic diseases such as Ebola Virus Disease (EVD). Numerical results from a more complicated EVD model are compared with the theoretical results of a simplified stochastic SISk model. We also demonstrate the effect that vaccine has on outbreak vulnerability in a population that is connected to a disease reservoir.
Odatalla, Sausan, "Stochastic Modeling of Zoonotic Disease" (2020). Theses, Dissertations and Culminating Projects. 474.