Abstract
dc:description.abstractWe 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.
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Comerford, Amy
- Contributors dc:contributor
-
- Mohapatra, Ram N.
Subjects
dc:subject × 5Rights
- Language dc:language
- English
Identifiers
dc:identifier.*- Identifier
- CFE0001093
- OAI identifier oai:identifier
- oai:stars.library.ucf.edu:etd-1868