Abstract
This thesis begins with an introduction to some of the classic epidemiological models. Several models are outlined, with the relevant differences highlighted as a means by which diseases of various characteristics can be resembled. A flow chart illustrating the human states is shown for each model, along with the set of differential equations used to construct the models and a summary of the parameters utilized in the equations. The second chapter describes the uses and methods of calculating equilibria and bifurcations of such models, and the third chapter describes the construction of a model used to represent malaria in Uganda. The biology of the disease is discussed in depth, in order to exhibit the method by which the states and parameters in the model were chosen. Research on the parameter values was then presented, and the model was used to create a bifurcation. The thesis concludes with a discourse on the model's validity and potential uses.
Advisor
Pasteur, R. Drew
Department
Mathematics
Recommended Citation
Rhollans, Mary, "Introduction to Disease Modeling, With a Focus on Malaria" (2010). Senior Independent Study Theses. Paper 918.
https://openworks.wooster.edu/independentstudy/918
Disciplines
Applied Mathematics
Publication Date
2010
Degree Granted
Bachelor of Arts
Document Type
Senior Independent Study Thesis
© Copyright 2010 Mary Rhollans