Dynamics of an HIV-1 Virotherapy Model
Poster Number
058
College
College of Arts and Sciences
Department
Mathematics
Abstract
In this project, we extend the work done this summer on the dynamics of an HIV-1 virotherapy model. We now consider a model with six equations, disregarding the number of free HIV virions in the system. We establish the existence of disease-free, single-infection, and double-infection equilibrium points. We use Lyapunov functions to determine the global stability of the disease-free and single-infection equilibrium points. We also calculate the basic reproductive ratios for both the HIV virus and recombinant virus. We explore the stability of the double-infection equilibrium point using numerical simulations. We finish with a discussion of the viability of virotherapy as a possible treatment for HIV-1.
Honors Thesis Committee
Kristen Abernathy, Ph.D.; Trent Kull, Ph.D.; and Zach Abernathy, Ph.D.
Start Date
12-4-2019 2:15 PM
End Date
April 2019
Dynamics of an HIV-1 Virotherapy Model
Richardson Ballroom – DiGiorgio Campus Center
In this project, we extend the work done this summer on the dynamics of an HIV-1 virotherapy model. We now consider a model with six equations, disregarding the number of free HIV virions in the system. We establish the existence of disease-free, single-infection, and double-infection equilibrium points. We use Lyapunov functions to determine the global stability of the disease-free and single-infection equilibrium points. We also calculate the basic reproductive ratios for both the HIV virus and recombinant virus. We explore the stability of the double-infection equilibrium point using numerical simulations. We finish with a discussion of the viability of virotherapy as a possible treatment for HIV-1.
