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Fall 2017
Epstein-Barr virus (EBV) is a “kissing disease virus” that has infected more than 95% of the adult human population. It has been associated with diseases such as Acute Infectious Mononucleosis (AIM) and post-transplant lymphoproliferative disorder (PTLD). The kinetics of primary EBV infection has...
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Fall 2014
In this thesis a mathematical model of HIV transmission and diagnosis is used to estimate the total size of the HIV-positive population and the HIV incidence from HIV case report data for the Province of Alberta. Worldwide, estimates of the size of the HIV-positive population are used to...
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Modeling the Transmission of Tuberculosis in Long-Term Care Facilities using a Network Model
DownloadFall 2012
Tuberculosis (TB) infection in the elderly is frequently misdiagnosed. The resulting treatment delay may increase TB transmission which is higher in long-term care (LTC) facilities. The CDC's recommendations to prevent and control TB in LTC facilities include TB education and better initial...
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A graph-theoretic approach to the construction of Lyapunov functions for coupled systems on networks
DownloadFall 2010
For coupled systems of differential equations on networks, a graph-theoretic approach to the construction of Lyapunov functions is systematically developed in this thesis. Kirchhoff’s Matrix-Tree Theorem in graph theory plays an essential role in the approach’s development. The approach is...