Graduation Year
2022
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Christina Edholm
Reader 2
Winston Ou
Rights Information
2022 Kimi Miramontes
Abstract
This thesis seeks to explore Legionnaires' Disease through a formulated ODE model. By the construction of this model, we learn to understand the disease-free equilibrium, calculate the basic reproduction number, and prove stability analysis. We perform numerical simulations, including parameter estimation and sensitivity analysis, to further understand the different dynamics. These numerical simulations are also paramount in how we could implement future additions and modifications to our ODE model.
Recommended Citation
Miramontes, Kimi, "An Examination of Legionnaires' Disease Through the Lens of ODE Modeling" (2022). Scripps Senior Theses. 1897.
https://scholarship.claremont.edu/scripps_theses/1897
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
