Date

Spring 5-5-2020

Document Type

Honors Project

First Advisor

Lee, Jangwoon (Leo)

Second Advisor

Esunge, Julius

Third Advisor

Sumner, Suzanne

Department Chair or Program Director

Helmstutler, Randall

Degree Name

Bachelor of Science

Major or Concentration

Mathematics

Department or Program

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.

Language

English

Included in

Mathematics Commons

Share

COinS