Date of Award
Bachelor of Science
Department Chair or Program Director
Lee, Jangwoon (Leo)
Major or Concentration
In this research project, I investigated deterministic and stochastic versions of a model for Human Immunodeficiency Virus Type 1 (HIV-1) dynamics. First, an analytical solution to a simplified version of the deterministic model is found. Then, numerical techniques are used to obtain an approximate solution to the deterministic model. Finally, a stochastic version of the model is discussed, and numerical methods are used to find an approximate solution to the stochastic system. These results demonstrate the behavior of HIV-1 in an infected patient under the effects of reverse transcriptase and protease inhibitors, and illustrate how the addition of randomness to the constants in the model impact the development of HIV-1 in a given patient.
Creel, Amy, "The T, T*, VI, VNI Model for Human Immunodeficiency Virus Type 1 (HIV-1) Dynamics" (2020). Student Research Submissions. 332.