• DocumentCode
    475881
  • Title

    A Class of SIR Epidemic Model with Saturation Incidence and Age of Infection

  • Author

    Yang, Junyuan ; Zhang, Fengqin ; Wang, Xiaoyan

  • Author_Institution
    Dept. of Appl. Math., Yuncheng Univ., Yuncheng
  • fYear
    2008
  • fDate
    6-8 Aug. 2008
  • Firstpage
    967
  • Lastpage
    970
  • Abstract
    Saturating contact rate of individual contacts is very important in an epidemiology model. A class of SIR model with saturation incidence and age of infection is formulated in this paper. The dynamical behavior of the model is studied and the basic reproductive number R0 is defined. It is proved that the diseased-free equilibrium is globally asymptotically stable if R0 < 1. The endemic equilibrium is locally asymptotically stable if K1 > alpha and R0 > 1.
  • Keywords
    asymptotic stability; diseases; SIR epidemic model; age of infection; diseased-free equilibrium; endemic equilibrium; epidemiology model; saturation incidence; Artificial intelligence; Differential equations; Diseases; Distributed computing; Humans; Immune system; Mathematical model; Mathematics; Software engineering; Stability; age of infection; epidemic model; local stability; saturation incidence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2008. SNPD '08. Ninth ACIS International Conference on
  • Conference_Location
    Phuket
  • Print_ISBN
    978-0-7695-3263-9
  • Type

    conf

  • DOI
    10.1109/SNPD.2008.150
  • Filename
    4617494
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=475881