Document Type

Thesis

First Faculty Advisor

Brian Blais

Keywords

vampires; disease modeling; statistics; stochastic; SIR

Rights Management

CC-BY-NC-ND

Abstract

Mathematical models are powerful tools often applied in the field of epidemiology. The type and shape of the model will differ between different types of diseases. In this study, stochastic dynamical models are applied to the entertaining example of vampires, and the results of this analysis are compared to real-life diseases with small populations of infected. The data used comes from pop-culture depictions of vampires in literature, television shows, movies, and fan pages associated with these depictions. The aim of this study is to serve as an educational tool for modeling diseases with small populations to predict and control the progression of such diseases through the effective application of stochastic dynamical models.

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