A Parasite-Host-Human Mathematical Model and Simulation: Predicting Chagas Prevalence
Mathematics | Physical Sciences and Mathematics
Robert Hesse, Mathematics
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.
Bennett, Benjamin, "A Parasite-Host-Human Mathematical Model and Simulation: Predicting Chagas Prevalence" (2008). Honors Theses, 1963-2015. 247.