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Modeling Transmission Dynamics Of Tuberculosis Including Various Latent Periods, Tracy Atkins
Modeling Transmission Dynamics Of Tuberculosis Including Various Latent Periods, Tracy Atkins
Electronic Theses and Dissertations
The systems of equations created by Blower et al. (1995) and Jia et al. (2007) designed to model the dynamics of Tuberculosis are solved using the computer software SIMULINK. The results are first employed to examine the intrinsic transmission dynamics of the disease through two models developed by Blower et al. (1995). The "simple transmission model" was used primarily to give insight to the behavior of the susceptible, latent, and infectious groups of individuals. Then, we consider a more detailed transmission model which includes several additional factors. This model captures the dynamics of not only the susceptible, latent and infectious …
On Modeling Hiv Infection Of Cd4+ T Cells, Amy Comerford
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 …