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

Differential equations and nonlinear mechanics

Boukhouima, Adnane¹ 

DOI  :  10.1155/2017/8372140

学科分类：几何与拓扑

来源: Hindawi Publishing Corporation

【 摘 要 】

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.

【 授权许可】

CC BY