"Fractional Modeling of Typical Stages in HIV Epidemics with Drug-Resis" by Carla M. A. Pinto and R. M. Carvalho

Progress in Fractional Differentiation & Applications

Article Title

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

Authors

Carla M. A. Pinto, School of Engineering, Polytechnic of Porto, Center for Mathematics of the University of Porto, Rua Dr Ant´onio Bernardino de Almeida, 431, 4200-072 Porto, PortugalFollow
R. M. Carvalho

Author Country (or Countries)

Portugal

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.

Suggested Reviewers

N/A

Recommended Citation

M. A. Pinto, Carla and M. Carvalho, R. (2015) "Fractional Modeling of Typical Stages in HIV Epidemics with Drug-Resistance," Progress in Fractional Differentiation & Applications: Vol. 1: Iss. 2, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol1/iss2/5

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