• DocumentCode
    3190574
  • Title

    Stability of solutions of SIR model under constant vaccination

  • Author

    Zhou, Lingli ; Zhang, Chunming ; Hu, Lei

  • Author_Institution
    Dept. of Math. & Phys., ShanDong Jiaotong Univ., Jinan, China
  • fYear
    2011
  • fDate
    8-10 Aug. 2011
  • Firstpage
    7249
  • Lastpage
    7252
  • Abstract
    Vaccination is effective to the control of the epidemics. In this paper we discuss the stability of the equilibriums of SIR model under constant vaccination. It is proved that with the constant vaccination percentage p, if p >; p0 (a constant), the “infection-free” equilibrium is stable. Otherwise, it is unstable and the endemic equilibrium is stable.
  • Keywords
    diseases; epidemics; stability; SIR model; constant vaccination; endemic equilibrium; epidemics; equilibriums; infection-free equilibrium; stability; Analytical models; Biological system modeling; Diseases; Equations; Guidelines; Mathematical model; Stability analysis; Constant vaccination; Equilibrium; Periodic solution; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on
  • Conference_Location
    Deng Leng
  • Print_ISBN
    978-1-4577-0535-9
  • Type

    conf

  • DOI
    10.1109/AIMSEC.2011.6011474
  • Filename
    6011474
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3190574