Fractional complex-order model for HIV infection with drug resistance during therapy

摘要

We propose a fractional complex-order model for drug resistance in HIV infection. We consider three distinct growth rates for the CD4(+) T helper cells. We simulate the model for different values of the fractional derivative of complex order D-+/- j, where ,R+, and for distinct growth rates. The fractional derivative of complex order is a generalization of the integer-order derivative where =1 and =0. The fractional complex-order system reveals rich dynamics and variation of the value of the complex-order derivative sheds new light on the modeling of the intracellular delay. Additionally, fractional patterns are characterized by time responses with faster transients and slower evolutions towards the steady state.