Skip to main content

Theory and Modern Applications

Modelling AIDS epidemic and treatment with difference equations


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.

Author information

Authors and Affiliations


Corresponding author

Correspondence to K M Tamizhmani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tamizhmani, K.M., Ramani, A., Grammaticos, B. et al. Modelling AIDS epidemic and treatment with difference equations. Adv Differ Equ 2004, 852092 (2004).

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: