Keywords
HIV, T cell, Modeling, Equilibrium Points
Abstract
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 actively infected T cell, is less than a critical value, , then the uninfected state is the only steady state in the non negative orthant, and this state is stable. We establish an expression for . If , then the uninfected steady state is unstable, and the endemically infected state can be stable or unstable, depending on the value of the parameters utilized.
Notes
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Graduation Date
2006
Semester
Spring
Advisor
Mohapatra, Ram N.
Degree
Master of Science (M.S.)
College
College of Arts and Sciences
Department
Mathematics
Degree Program
Mathematics
Format
application/pdf
Identifier
CFE0001093
URL
http://purl.fcla.edu/fcla/etd/CFE0001093
Language
English
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
STARS Citation
Comerford, Amy, "On Modeling HIV Infection Of Cd4+ T Cells" (2006). Electronic Theses and Dissertations. 869.
https://stars.library.ucf.edu/etd/869