Open Access

Modelling AIDS epidemic and treatment with difference equations

Advances in Difference Equations20042004:852092

Received: 15 October 2003

Published: 12 July 2004


We propose two models for the description of the dynamics of an AIDS epidemic and of the effect of a combined-drugs AIDS treatment based on difference equations. We show that our interacting population model, despite its extreme simplicity, describes adequately the evolution of an AIDS epidemic. A cellular-automaton analogue of the discrete system of equations is presented as well. In the case of drug treatment, we identify two different regimes corresponding to efficient and inefficient medication. The effect of the discreteness of the equations is also studied.

Authors’ Affiliations

Department of Mathematics, Pondicherry University
Centre de Physique Théorique, École Polytechnique, Centre National de la Recherche Scientifique (CNRS), UMR 7644
GMPIB, Université Paris VII
Institute of Physics and Nuclear Engineering, Magurele


© Tamizhmani et al. 2004