Stability Analysis for a Fractional HIV Infection Model with Immune Response

2018 International Conference on Advanced Materials, Intelligent Manufacturing and Automation

材料科学;机械制造;运输工程

Zhang, Linli^1 ; Wang, Lin^1

Haikou College of Economics, Haikou

571127, China^1

关键词: Caputo derivatives;    Characteristic equation;    Fractional-order differential equations;    HIV infection model;    Infection free equilibrium;    Local stability;    Non-negative solutions;    Stability analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/382/5/052014/pdf
DOI  :  10.1088/1757-899X/382/5/052014

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

In this paper, we give a fractional-order differential equation model of HIV infection by introducing Caputo derivative and immune response. We prove that the model established in this paper has a unique nonnegative solution. With characteristic equation and Hurwitz criterion, the local stability of the infection-free equilibrium, the immune-absence equilibrium and the immune-presence equilibrium are analyzed.