## International Journal of Differential Equations

### Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate

#### Abstract

We propose a fractional order model in this paper to describe the dynamics of human immunodeficiency virus (HIV) infection. In the model, the infection transmission process is modeled by a specific functional response. First, we show that the model is mathematically and biologically well posed. Second, the local and global stabilities of the equilibria are investigated. Finally, some numerical simulations are presented in order to illustrate our theoretical results.

#### Article information

Source
Int. J. Differ. Equ., Volume 2017, Special Issue (2017), Article ID 8372140, 8 pages.

Dates
Accepted: 31 July 2017
First available in Project Euclid: 19 September 2017

https://projecteuclid.org/euclid.ijde/1505786557

Digital Object Identifier
doi:10.1155/2017/8372140

Mathematical Reviews number (MathSciNet)
MR3696023

Zentralblatt MATH identifier
06915942

#### Citation

Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura. Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate. Int. J. Differ. Equ. 2017, Special Issue (2017), Article ID 8372140, 8 pages. doi:10.1155/2017/8372140. https://projecteuclid.org/euclid.ijde/1505786557

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