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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 1 > No. 2

 
   

Fractional Modeling of Typical Stages in HIV Epidemics with Drug-Resistance

PP: 111-122
Author(s)
Carla M. A. Pinto, R. M. Carvalho,
Abstract
In this paper it is studied a fractional order model for the three stages of HIV epidemics with drug-resistance. The model includes CD4+ T cells, CTLs, macrophages, and the virus populations. We simulate the model for different values of the fractional derivative a 2 [0.5,1.0]. The fractional order system untangles generous dynamical characteristics, such as faster transients and slower evolutions as time increases. These traits are not seen in integer-order models, since they are customary of memory-preserving systems.

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