Effect of drug-resistance in a fractional complex-order model for HIV infection

Abstract We study a fractional complex-order (FO) model for drug-resistance in HIV infection during therapy. We simulate the model for different values of the fractional derivative of complex order (FD) Dα ± ȷβ, where α,β ∈ R+. The FD is a generalization of the integer order derivative where α = 1 and β = 0. The FO system reveals rich dynamics. The novelty of the paper is attributed to the dynamics of the model promoted by the variation of the complex-order derivative. The obtained interesting dynamics may point in other directions to model the intracellular delay.