Stability Analysis and Bifurcation Control For a Fractional Order SIR Epidemic Model with Delay

被引：0
|
作者：
Liu, Feng [1 ,2 ]
Huang, Shuxian [1 ]
Zheng, Shiqi [1 ,2 ]
Wang, Hua O. [3 ]
机构：
[1] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Peoples R China
[3] Boston Univ, Dept Mech Engn, Boston, MA 02215 USA
来源：
PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE | 2020年
关键词：
Fractional order; stability; bifurcation; PD control; SIR epidemic model;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a delayed fractional SIR epidemic model with incommensurate orders is considered. Firstly, the stability is investigated and the conditions of the existence for Hopf bifurcation are attained by analyzing its characteristic equation. When the delay exceeds the critical value, a Hopf bifurcation occurs, the system loses its stability. An fractional PD control method is proposed to control the bifurcation behaviors of the delayed fractional SIR epidemic model. Finally, some numerical simulations are given to illustrate the validity of theoretical analysis.
引用
收藏
页码：724 / 729
页数：6
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