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

Pinto, Carla M.A.; Carvalho, Ana R.M.

http://hdl.handle.net/10400.22/9150

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
ART2_CAP_DMA_2016.pdf		1.8 MB	Adobe PDF	Download

Send Feedback

Authors

Pinto, Carla M.A.

Carvalho, Ana R.M.

Abstract(s)

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 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.