IJPAM: Volume 25, No. 4 (2005)

A STAGE-STRUCTURED MODEL OF HIV INFECTION

Robert L. Robertson
Department of Mathematics and Computer Science
Drury University
900, N. Benton Avenue, Springfield, MO 65802, USA
e-mail: rroberts@drury.edu


Abstract.This article describes a delay-differential equation model of HIV infection. The model is based upon the assumption that actively-infected helper T-cells come only from the latently-infected T-cell population. The time delay that appears in the equations is assumed to be the average time that a T-cell remains latently infected. The paper gives results on boundedness, positivity, and stability of equilibria.

Received: Ocotber 12, 2005

AMS Subject Classification: 34K12, 92C60

Key Words and Phrases: delay-differential equations, HIV, stage-structured

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 4