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Route to Chaos in a Nonlinear Model of HIV Dynamics with Antiretroviral Treatment

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VIII Latin American Conference on Biomedical Engineering and XLII National Conference on Biomedical Engineering (CLAIB 2019)

Abstract

Here we present a numerical study of a nonlinear model of HIV dynamics. The model describes the dynamics of T4 lymphocytes cells, HIV virus and opportunistic infection, and includes the effect of HIV treatment. We show that, as the efficacy of the antiretroviral treatment is reduced, the model display a transition from orderly to chaotic dynamics via a period-doubling cascade. The chaotic regime is interrupted by regions of periodic dynamics known as periodic windows.

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Correspondence to Lorena de Sousa Moreira .

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de Sousa Moreira, L., Cerda, R.A.M., de Amorim, R.G.G. (2020). Route to Chaos in a Nonlinear Model of HIV Dynamics with Antiretroviral Treatment. In: González Díaz, C., et al. VIII Latin American Conference on Biomedical Engineering and XLII National Conference on Biomedical Engineering. CLAIB 2019. IFMBE Proceedings, vol 75. Springer, Cham. https://doi.org/10.1007/978-3-030-30648-9_92

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  • DOI: https://doi.org/10.1007/978-3-030-30648-9_92

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-30647-2

  • Online ISBN: 978-3-030-30648-9

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