Date of Last Revision
2023-05-02 14:20:10
Major
Applied Mathematics
Degree Name
Bachelor of Science
Date of Expected Graduation
Spring 2015
Abstract
Starting with the original 1926 formulation of the SIR (Susceptible-Infected-Removed) model for infectious diseases, mathematical epidemiology continued to grow. Many extensions such as the SEIR, MSIR, and MSEIR models were developed using SIR as a basis to model diseases in a variety of circumstances. By taking the original SIR model, and reducing the system of three first-order equations to a single first-order equation, analysis shows that the model predicts two possible situations. This analysis is followed by discussion of an alternative use of the SIR model which allows for one to track the amount of sustainable genetic variation in a population of pathogens as a quantity π. Finally, using the 2014 West African Ebola epidemic as an example, an alternative model to SIR is presented and discussed.
Research Sponsor
Dr. J. P. Wilber
First Reader
Dr. G. Young
Second Reader
Dr. C. Clemons
Recommended Citation
Jenkins, David M., "An Examination of Mathematical Models for Infectious Disease" (2015). Williams Honors College, Honors Research Projects. 194.
https://ideaexchange.uakron.edu/honors_research_projects/194
Included in
Immunology and Infectious Disease Commons, Integrative Biology Commons, Non-linear Dynamics Commons