A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity. (2nd December 2018)

• Record Type: Journal Article
• Authors: Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura
• Other Names: Savaşaneril Nurcan B. Guest Editor.
• Is Part Of: International journal of differential equations. Volume 2018(2018)
• Publication Date: 2018-12-02
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2018/1019242
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : 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.