Hossein Kheiri - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Mohsen Jafari - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Azizeh Jabbari - Marand Faculty of Engineering, University of Tabriz, Tabriz, Iran
Fatemeh Iranzad - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

In this paper, we present a fractional model for transmission dynamics of HIV/AIDS with screening, and investigate the e cacy of the fractional derivative order (0:6 < 1) on the spread of HIV/AIDS epidemic using the Adams type predictor-corrector method. The numerical results show that the derivative order can play the role of precautions against infection transmission, treatment of infection and delay in accepting HIV testing.

Fractional calculus, HIV/AIDS epidemic, Numerical simulation