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Fractional Modeling of Typical Stages in HIV Epidemics with Drug-Resistance |
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PP: 111-122 |
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Author(s) |
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Carla M. A. Pinto,
R. M. Carvalho,
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Abstract |
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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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