International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2018, Special Issue (2018), Article ID 1019242, 12 pages.
A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity
In this paper, we study the dynamics of a viral infection model formulated by five fractional differential equations (FDEs) to describe the interactions between host cells, virus, and humoral immunity presented by antibodies. The infection transmission process is modeled by Hattaf-Yousfi functional response which covers several forms of incidence rate existing in the literature. We first show that the model is mathematically and biologically well-posed. By constructing suitable Lyapunov functionals, the global stability of equilibria is established and characterized by two threshold parameters. Finally, some numerical simulations are presented to illustrate our theoretical analysis.
Int. J. Differ. Equ., Volume 2018, Special Issue (2018), Article ID 1019242, 12 pages.
Received: 9 September 2018
Accepted: 7 November 2018
First available in Project Euclid: 10 January 2019
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Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura. A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity. Int. J. Differ. Equ. 2018, Special Issue (2018), Article ID 1019242, 12 pages. doi:10.1155/2018/1019242. https://projecteuclid.org/euclid.ijde/1547089232