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
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