Date of Award


Document Type


Degree Name

Master of Arts in Mathematics



First Reader/Committee Chair

McMurran, Shawn


The measles virus has been around since the 9th century. Throughout the years measles have become less problematic in certain areas of the world due to research and the creation of vaccinations. Sadly, not all countries are fortunate enough to have adequate access to the vaccination, which leads to yearly outbreaks.

The goal of this project is to experiment with different mathematical growth models and examine their suitability for modeling outbreaks of measles. We will compare and contrast the exponential model, the logistic model, the SIR model, and the SEIR model. In addition, we will show how the epidemiological models are built and explain their parameters. We will then consider a model for the spread of measles and analyze its suitability using real data.

Included in

Mathematics Commons