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Advances in Continuous and Discrete Models

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Modelling AIDS epidemic and treatment with difference equations

Advances in Difference Equations volume 2004, Article number: 852092 (2004) Cite this article

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Pondicherry University, Kalapet, Pondicherry, 605014, India

    K M Tamizhmani

  2. Centre de Physique Théorique, École Polytechnique, Centre National de la Recherche Scientifique (CNRS), UMR 7644, Palaiseau, 91128, France

    A Ramani

  3. GMPIB, Université Paris VII, case 7021, Paris, 75251, France

    B Grammaticos

  4. Institute of Physics and Nuclear Engineering, Magurele, P.O. Box MG-6, Bucharest, 76900, Romania

    A S Carstea

Authors
  1. K M Tamizhmani
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  2. A Ramani
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  3. B Grammaticos
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  4. A S Carstea
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Correspondence to K M Tamizhmani.

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Tamizhmani, K.M., Ramani, A., Grammaticos, B. et al. Modelling AIDS epidemic and treatment with difference equations. Adv Differ Equ 2004, 852092 (2004). https://doi.org/10.1155/S168718390431006X

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  • DOI: https://doi.org/10.1155/S168718390431006X