Title of Abstract

Dynamics of an HIV-1 Virotherapy Model

Poster Number

058

College

College of Arts and Sciences

Department

Department of 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

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Apr 12th, 2:15 PM Apr 12th, 4:15 PM

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.