Honors Theses and Capstones

Date of Award

Spring 2016

Project Type

Senior Honors Thesis

College or School



Mathematics and Statistics

Program or Major


Degree Name

Bachelor of Science

First Advisor

Adam Boucher


A nosocomial infection is an infection that a patient develops while in a hospital or healthcare related setting, also known as a hospital acquired infection (HAI).This project has two foci: firstly to model a HAI within an individual, then secondly to understand community-level propagation effects of a nosocomial infection within a hospital ward. An analysis of a novel system of coupled nonlinear ordinary differential equations (representing the HAI attack and immune response within an individual) was first completed. More specifically the model includes an s parameter that allows frailty to be patient specific. After the dynamic behaviors of the model were fully characterized, an agent based-modeling approach was used to understand community level dynamics. Of particular interest was the interplay between the time span of an infection and the distribution of immune responses across agents[1].