• DocumentCode
    531928
  • Title

    Asymptotical behavior of SIR epidemic models with vertical transmission and impulsive vaccination

  • Author

    Song, Yan

  • Author_Institution
    Dept. of Math., Bohai Univ., Jinzhou, China
  • Volume
    1
  • fYear
    2010
  • fDate
    22-24 Oct. 2010
  • Abstract
    In this paper, we discuss SIR epidemic models with vertical transmission and impulsive vaccination which may inherently oscillate. We obtain the conditions for which the epidemic elimination solution is globally asymptotically stable. On the other hand, by the impulsive bifurcation theory, we prove the existence of a stable positive periodic solution.
  • Keywords
    biology computing; diseases; medical computing; SIR epidemic model; asymptotic stability; asymptotical behavior; impulsive bifurcation theory; impulsive vaccination; vertical transmission; Artificial neural networks; Biological system modeling; SIR epidemic model; globally asymptotically stable; impulsive vaccination; saturated incidence rate; vertical transmission;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Application and System Modeling (ICCASM), 2010 International Conference on
  • Conference_Location
    Taiyuan
  • Print_ISBN
    978-1-4244-7235-2
  • Electronic_ISBN
    978-1-4244-7237-6
  • Type

    conf

  • DOI
    10.1109/ICCASM.2010.5619154
  • Filename
    5619154
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=531928