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Theses/Dissertations

2006

University of Central Florida

Mathematics

Equilibrium Points

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On Modeling Hiv Infection Of Cd4+ T Cells, Amy Comerford Jan 2006

On Modeling Hiv Infection Of Cd4+ T Cells, Amy Comerford

Electronic Theses and Dissertations

We examine an early model for the interaction of HIV with CD4+ T cells in vivo and define possible parameters and effects of said parameters on the model. We then examine a newer, more simplified model for the interaction of HIV with CD4+ T cells that also considers four populations: uninfected T cells, latently infected T cells, actively infected T cells, and free virus. The stability of both the disease free steady state and the endemically infected steady state are examined utilizing standard methods and the Routh-Hurwitz criteria. We show that if N, the number of infectious virions produced per ...