Dynamical Analysis of a Fractional-order HIV Model
Haiping Ye1, Yongsheng Ding2
Department of Applied Mathematics, Donghua University, Shanghai 201620, P. R. China
College of Information Sciences and Technology, Donghua University, Shanghai 201620, P. R.China
A fractional-order model for the immunological and therapeutic control of HIV is studied qualitatively. The equilibria are found and their local stability are investigated. Also the global stability of the infection-free equilibrium is established. The optimal efficacy level of anti-retroviral therapy needed to eradicate HIV from the body of an HIV-infected individual is obtained.
Ye, H., Ding, Y. (2009). Dynamical Analysis of a Fractional-order HIV Model. CMES-Computer Modeling in Engineering & Sciences, 49(3), 255–268. https://doi.org/10.3970/cmes.2009.049.255
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