Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model

Haiping Ye and Yongsheng Ding

Mathematical Problems in Engineering, 2009, vol. 2009, 1-12

Abstract:

We introduce fractional order into an HIV model. We consider the effect of viral diversity on the human immune system with frequency dependent rate of proliferation of cytotoxic T-lymphocytes (CTLs) and rate of elimination of infected cells by CTLs, based on a fractional-order differential equation model. For the one-virus model, our analysis shows that the interior equilibrium which is unstable in the classical integer-order model can become asymptotically stable in our fractional-order model and numerical simulations confirm this. We also present simulation results of the chaotic behaviors produced from the fractional-order HIV model with viral diversity by using an Adams-type predictor-corrector method.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:378614

DOI: 10.1155/2009/378614

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