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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

Computer Modeling in Engineering & Sciences 2009, 49(3), 255-268. https://doi.org/10.3970/cmes.2009.049.255

Abstract

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.

Keywords

HIV, Fractional-order, Basic reproductive number, Equilibria, Stability, Anti-retroviral therapy.

Cite This Article

Ye, H., Ding, Y. (2009). Dynamical Analysis of a Fractional-order HIV Model. CMES-Computer Modeling in Engineering & Sciences, 49(3), 255–268.



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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