Open Access

ARTICLE

Dynamical Analysis of a Fractional-order HIV Model

Haiping Ye¹, Yongsheng Ding²
1 Department of Applied Mathematics, Donghua University, Shanghai 201620, P. R. China
2 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.

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Keywords

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