Pinto, Carla M.A.Carvalho, Ana R.M.2017-01-0920161077-5463http://hdl.handle.net/10400.22/9150We 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 Dα±jβ, where α,β ∈ R+, and for distinct growth rates. The fractional derivative of complex order is a generalization of the integer-order derivative where α = 1 and β = 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.engHIVInteger-order modelFractional-order modelDrug resistanceGrowth ratesjournal article10.1177/1077546315574964