Hye Yon Yi

Abstract

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

Publication Date

11-1-2007

Document Type

Thesis

Department, Program, or Center

School of Mathematical Sciences (COS)

Advisor

Lutzer, Carl

Advisor/Committee Member

Ross, David

Advisor/Committee Member

Wiandt, Tamas

Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: RA652.2.M3 Y4 2008

Campus

RIT – Main Campus

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