With the increasing threat of biological warfare and the fear of an epidemic outbreak of influenza, smallpox, and other deadly diseases, the field of epidemic modeling is becoming increasingly important in the scientific fields. The focus of this thesis will be to create a model to study the effects of the rates of reaction and the rates of diffusion within a network based on the different parameters used in the modeling of any disease. For this model, the exact parameters of a specific disease are not as crucial as the qualitative behaviors that occur from the changing parameters. The model is linearly stable when diffusion does not exist. As diffusion is incorporated, Turing instabilities occur.
Library of Congress Subject Headings
Epidemics--Mathematical models; Difference equations
Department, Program, or Center
School of Mathematical Sciences (COS)
Yi, Hye Yon, "Turing instabilities in a S-I-R model" (2007). Thesis. Rochester Institute of Technology. Accessed from
RIT – Main Campus