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：
中国国家自然科学基金; 中国博士后科学基金;
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
下载
收藏
页码：890 / 913
页数：24
相关论文
共 50 条
  • [1] Optimal control and bifurcation analysis of a delayed fractional-order epidemic model for the COVID-19 pandemic
    Xu, Conghui
    Yu, Yongguang
    Ren, Guojian
    Si, Xinhui
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [2] Exploration and Control of Bifurcation in a Fractional-Order Delayed Glycolytic Oscillator Model
    Liu, Yizhong
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2023, 90 (01) : 103 - 149
  • [3] Modeling, Analysis and Bifurcation Control of a Delayed Fractional-Order Predator-Prey Model
    Huang, Chengdai
    Song, Xinyu
    Fang, Bin
    Xiao, Min
    Cao, Jinde
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (09):
  • [4] Bifurcation control of a fractional-order PD control strategy for a delayed fractional-order prey–predator system
    Lu Lu
    Chengdai Huang
    Xinyu Song
    The European Physical Journal Plus, 138
  • [5] Bifurcation control of a fractional-order delayed competition and cooperation model of two enterprises
    XU ChangJin
    LIAO MaoXin
    LI PeiLuan
    Science China Technological Sciences, 2019, 62 (12) : 2130 - 2143
  • [6] Bifurcation control of a fractional-order delayed competition and cooperation model of two enterprises
    ChangJin Xu
    MaoXin Liao
    PeiLuan Li
    Science China Technological Sciences, 2019, 62 : 2130 - 2143
  • [7] Bifurcation control strategy for a fractional-order delayed financial crises contagions model
    Xu, Changjin
    Aouiti, Chaouki
    Liu, Zixin
    Qin, Qiwen
    Yao, Lingyun
    AIMS MATHEMATICS, 2022, 7 (02): : 2102 - 2122
  • [8] Bifurcation control of a fractional-order delayed competition and cooperation model of two enterprises
    XU ChangJin
    LIAO MaoXin
    LI PeiLuan
    Science China(Technological Sciences), 2019, (12) : 2130 - 2143
  • [9] Bifurcation control of a fractional-order delayed competition and cooperation model of two enterprises
    Xu ChangJin
    Liao MaoXin
    Li PeiLuan
    SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2019, 62 (12) : 2130 - 2143
  • [10] Local Bifurcation Analysis of a Delayed Fractional-order Dynamic Model of Dual Congestion Control Algorithms
    Xiao, Min
    Jiang, Guoping
    Cao, Jinde
    Zheng, Weixing
    IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2017, 4 (02) : 361 - 369
12345