Date of Award
Spring 4-15-2025
Document Type
Honors Project
Degree Name
Bachelor of Science
Department
Mathematics
Department Chair or Program Director
Julius Esunge
First Advisor
Leo Lee
Second Advisor
Debra Hydorn
Third Advisor
Suzanne Sumner
Major or Concentration
Mathematics
Abstract
Epidemiological models delineate the spread of diseases within a population. In this research project, the Susceptible-Exposed-Infected-Recovered (SEIR) Model was examined numerically for comparison between several methods. Approximations were obtained through Euler’s Method, Taylor’s Method, Runge-Kutta Methods, and Multi-step Methods. Hypothetical situations with parameter alterations were considered in order to better understand the effects the parameters have on the model. The goal of this project was to portray the usefulness of numerical approximations for predicting the behavior of the SEIR model and thus the course of a pandemic.
Recommended Citation
Beckelhimer, Abigail R., "Numerical Analysis of the SEIR Model" (2025). Departmental Honors & Graduate Capstone Projects. 643.
https://scholar.umw.edu/student_research/643