Isolation Control for SIR Epidemic Model with Bilinear Incidence Rates

被引:0
|
作者
Guang, Yang [1 ]
机构
[1] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang 110034, Peoples R China
关键词
SIR Epidemics Mode; Isolate Control; Threshold and Isolate Rate;
D O I
10.1109/CCDC.2009.5192741
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An isolation control of SIR epidemic model are proposed and analyzed, which not only isolate infective, but also isolate susceptible. In order to calculate the optimal values of the isolate rates, it constructs a performance index that is calculated explicitly as an algebraic function of the controller parameters by solving Zubov's partial differential equation, and standard optimization techniques are employed. The ultimate aim is to eliminate the disease optimally. The simulation result shows the method is viable and effectively.
引用
收藏
页码:1866 / 1869
页数:4
相关论文
共 50 条
  • [1] Optimal Control for a SIR Epidemic Model with Nonlinear Incidence Rate
    Grigorieva, E. V.
    Khailov, E. N.
    Korobeinikov, A.
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2016, 11 (04) : 89 - 104
  • [2] Analysis of an SIR model with bilinear incidence rate
    Wang, Jian-Jun
    Zhang, Jin-Zhu
    Jin, Zhen
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2390 - 2402
  • [3] Stability analysis and optimal control of a generalized SIR epidemic model with harmonic mean type of incidence and nonlinear recovery rates
    Chawla, Sant Ram
    Ahmad, Saeed
    Khan, Asaf
    Albalawi, Wedad
    Nisar, Kottakkaran Sooppy
    Ali, Hegagi M.
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2024, 97 : 44 - 60
  • [4] Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
    Hui, J
    Chen, LS
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03): : 595 - 605
  • [5] Stochastic two-strain epidemic model with bilinear and non-monotonic incidence rates
    Marya Sadki
    Karam Allali
    [J]. The European Physical Journal Plus, 138
  • [6] Stochastic two-strain epidemic model with bilinear and non-monotonic incidence rates
    Sadki, Marya
    Allali, Karam
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (10):
  • [7] Optimal Control For An SIR Epidemic Model
    Yang, Guang
    [J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 515 - 518
  • [8] RANK-ONE CHAOS IN A DELAYED SIR EPIDEMIC MODEL WITH NONLINEAR INCIDENCE AND TREATMENT RATES
    Jin, Li
    Dai, Yunxian
    Xiao, Yu
    Lin, Yiping
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (04): : 1779 - 1801
  • [9] A mathematical and numerical study of a SIR epidemic model with time delay, nonlinear incidence and treatment rates
    Kanica Goel
    [J]. Theory in Biosciences, 2019, 138 : 203 - 213
  • [10] Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay
    Bai, Zhenguo
    Zhang, Shengli
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 1370 - 1381