Stability analysis and Hopf bifurcation of a fractional order HIV model with saturated incidence rate and time delay

被引：1
|
作者：
Shi, Ruiqing [1 ]
Zhang, Yihong [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030031, Peoples R China
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 108卷
关键词：
Fractional order; HIV model; Saturated incidence rate; Stability; Delay; Hopf bifurcation; DIFFERENTIAL-EQUATION; DYNAMICAL BEHAVIOR; INFECTION; SYSTEM; TRANSMISSION; DISEASE;
D O I：
10.1016/j.aej.2024.07.059
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a fractional order HIV model with saturated incidence rate and time delay is proposed and analyzed. Firstly, the existence and uniqueness of positive solutions are proved. Secondly, the basic reproduction number and the sufficient conditions for the stability of two equilibriums are obtained. Thirdly, by using time delay as the bifurcation parameter, it is found that Hopf bifurcation may occur when the time delay passes through a sequence of critical values. After that, some numerical simulations are performed to verify the theoretical results. Finally, some discussions and conclusions are listed.
引用
收藏
页码：70 / 88
页数：19
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