Chaos control for a class of SIR epidemic model with seasonal fluctuation

被引：0
|
作者：
Zhang Yi [1 ,2 ]
Jie Yueming [1 ]
Liu Wanquan [3 ]
机构：
[1] Shenyang Univ Technol, Sch Sci, Shenyang 110870, Peoples R China
[2] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Peoples R China
[3] Curtin Univ Technol, Dept Comp, Perth, WA 6102, Australia
来源：
2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年
关键词：
Epidemic model; Differential-algebraic system; Seasonal fluctuation; Chaos; Tracking control; NONLINEAR INCIDENCE; GLOBAL STABILITY; PULSE;
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, the problems of chaos control for a class of susceptible-infected-removed (SIR) epidemic model with seasonal fluctuation are investigated. The seasonality in outbreak is natural among infectious diseases, such as the common influenza, the type H1N1 influenza and so on. It is known that there exist chaotic phenomena in the epidemic model. Furthermore, the tracking control method is used to regulate chaotic motions in the epidemic model. A feedback control input is designed to achieve tracking of an ideal output. Thus, the density of infected individuals can converge to zero, in other words, the disease can be eliminated. Finally, numerical simulations are given to illustrate that the feedback control input is effective.
引用
收藏
页码：856 / 859
页数：4
相关论文
共 50 条
  • [1] CHAOS ANALYSIS AND CONTROL FOR A CLASS OF SIR EPIDEMIC MODEL WITH SEASONAL FLUCTUATION
    Zhang, Yi
    Zhang, Qingling
    Zhang, Fuzhen
    Bai, Fenglan
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2013, 6 (01)
  • [2] Optimal Control For An SIR Epidemic Model
    Yang, Guang
    [J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 515 - 518
  • [3] A chaos study of fractional SIR epidemic model of childhood diseases
    Momani, Shaher
    Kumar, Ranbir
    Srivastava, H. M.
    Kumar, Sunil
    Hadid, Samir
    [J]. RESULTS IN PHYSICS, 2021, 27
  • [4] Estimating The Domain of Attraction of A Class of SIR Epidemic Model
    Li, Chunji
    Cao, Lili
    Li, Ning
    Chen, Xiangyong
    [J]. 2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 5010 - 5013
  • [5] A class of nonlinear adaptive observers for SIR epidemic model
    Bliman, Pierre-Alexandre
    Efimov, Denis
    Ushirobira, Rosane
    [J]. 2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 1969 - 1974
  • [6] Optimal Synthesize Control For An SIR Epidemic Model
    Jun, Guan Hong
    [J]. PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 3732 - 3736
  • [7] Seasonal dynamics in an SIR epidemic system
    E. Augeraud-Véron
    N. Sari
    [J]. Journal of Mathematical Biology, 2014, 68 : 701 - 725
  • [8] Seasonal dynamics in an SIR epidemic system
    Augeraud-Veron, E.
    Sari, N.
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2014, 68 (03) : 701 - 725
  • [9] A class of SIR epidemic model with saturation incidence and age of infection
    Yang, Junyuan
    Zhang, Fengqin
    Wang, Xiaoyan
    [J]. PROCEEDINGS OF NINTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING AND PARALLEL/DISTRIBUTED COMPUTING, 2008, : 967 - 970
  • [10] A class of SIR epidemic model with saturation incidence and age of infection
    Yang, Junyuan
    Zhang, Fengqin
    Wang, Xiaoyan
    [J]. SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 1, PROCEEDINGS, 2007, : 146 - +
12345