Date of Award
Spring 5-5-2020
Document Type
Honors Project
Degree Name
Bachelor of Science
Department
Mathematics
Department Chair or Program Director
Helmstutler, Randall
First Advisor
Lee, Jangwoon (Leo)
Second Advisor
Esunge, Julius
Third Advisor
Sumner, Suzanne
Major or Concentration
Mathematics
Abstract
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.
Recommended Citation
Creel, Amy, "The T, T*, VI, VNI Model for Human Immunodeficiency Virus Type 1 (HIV-1) Dynamics" (2020). Student Research Submissions. 332.
https://scholar.umw.edu/student_research/332