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Fuzzy modeling in symptomatic HIV virus infected population

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Abstract

This paper introduces a model for the evolution of positive HIV population and manifestation of AIDS (acquired immunideficiency syndrome). The focus is on the nature of the transference rate of HIV to AIDS. Expert knowledge indicates that the transference rate is uncertain and depends strongly on the viral load and the CD4+ level of the infected individuals. Here, we suggest to view the transference rate as a fuzzy set of the viral load and CD4+ level values. In this case the dynamic model results in a fuzzy model that preserves the biological meaning and nature of the transference rate λ. Its behavior fits the natural history of HIV infection reported in the medical science domain. The paper also includes a comparison between the fuzzy model and a classic Anderson’s model using data reported in the literature.

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Authors and Affiliations

  1. Faculty of Mathematics, Federal University of Uberlândia, Uberlândia, MG, Brazil

    Rosana Motta Jafelice

  2. Department of Applied Mathematics, IMECC State University of Campinas, Campinas, SP, Brazil

    Laécio Carvalho de Barros & Rodney Carlos Bassanezi

  3. Department of Computer Engineering and Industrial Automation, FEEC State University of Campinas, Campinas, SP, Brazil

    Fernando Gomide

Authors
  1. Rosana Motta Jafelice
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  2. Laécio Carvalho de Barros
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  3. Rodney Carlos Bassanezi
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  4. Fernando Gomide
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Correspondence to Rosana Motta Jafelice.

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Jafelice, R.M., de Barros, L.C., Bassanezi, R.C. et al. Fuzzy modeling in symptomatic HIV virus infected population. Bull. Math. Biol. 66, 1597–1620 (2004). https://doi.org/10.1016/j.bulm.2004.03.002

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  • DOI: https://doi.org/10.1016/j.bulm.2004.03.002

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