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A Fractional Order HIV Internal Viral Dynamics Model

Caibin Zeng1, Qigui Yang1
School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, P.R. China

Computer Modeling in Engineering & Sciences 2010, 59(1), 65-78. https://doi.org/10.3970/cmes.2010.059.065

Abstract

In this paper, a fractional order model is established to describe HIV internal viral dynamics involving HAART effect. First, the model is proved to possess non-negative solutions as desired in any population dynamics. Then, a detailed analysis is carried out to study the stability of equilibrium points. Numerical simulations are presented to illustrate the stability analysis.

Keywords

HIV infection, HAART, Stability, Fractional differential equation, Non-negative solution.

Cite This Article

Zeng, C., Yang, Q. (2010). A Fractional Order HIV Internal Viral Dynamics Model. CMES-Computer Modeling in Engineering & Sciences, 59(1), 65–78.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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