Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control

被引：0

作者：

Xu, Conghui ^{[1
]}

Yu, Yongguang ^{[2
]}

Ren, Guojian ^{[2
]}

Si, Xinhui ^{[1
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[2] Beijing Jiaotong Univ, Sch Math & Stat, Beijing 100044, Peoples R China

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2024年 / 29卷 / 05期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

optimal control; bifurcation analysis; fractional-order epidemic model; time delay; COVID-19; pandemic; PREDATOR-PREY SYSTEM; EPIDEMIC MODEL; STABILITY; FORMULATION;

D O I：

10.15388/namc.2024.29.35789

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fractional-order generalized SIRS model considering incubation period is established in this paper for the transmission of emerging pathogens. The corresponding Hopf bifurcation is discussed by selecting time delay as the bifurcation parameter. In order to control the occurrence of Hopf bifurcation and achieve better dynamic behaviors, a delayed feedback control is adopted to the model. Further, the delayed fractional-order optimal control problem (DFOCP) is proposed and discussed. The parameters of the proposed model are identified through the measurement data of coronavirus disease 2019 (COVID-19). Based on the results of parameter identification, the corresponding DFOCP with delayed control is numerically solved.

引用

页码：890 / 913

页数：24

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