A Fractional Order HIV Internal Viral Dynamics Model
Caibin Zeng; and Qigui Yang

doi:10.3970/cmes.2010.059.065
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 59, No. 1, pp. 65-78, 2010
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Keywords HIV infection, HAART, Stability, Fractional differential equation, Non-negative solution.
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.
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