A Parasite-Host-Human Mathematical Model and Simulation: Predicting Chagas Prevalence

Document Type

Thesis

Publication Date

2008

Disciplines

Mathematics | Physical Sciences and Mathematics

Advisor

Robert Hesse, Mathematics

Abstract

We study the interactions of a parasite through an environment consisting of animals (which serve as a reservoir), bugs (the vector) and humans (the topic of concern) in order to predict the prevalence of the Trypanasoma cruzi parasite within the system. A state diagram was created first in order to describe important states and interactions between bugs, animals and humans. To understand the dynamics of these interactions, a differential equation model was created and implemented. A discrete computer simulation was employed as a supplemental approach. A second version of each was created in order to study more closely the dynamics of the disease within humans.

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