Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model

作者：Ye Haiping; Ding Yongsheng^*

来源：Mathematical Problems in Engineering, 2009, 2009: 378614.

DOI：10.1155/2009/378614

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.

• 出版日期2009
• 单位东华大学