• DocumentCode
    2254857
  • Title

    Stability of SEIR system with random perturbations

  • Author

    Meng, Xiao-ying ; Deng, Fei-qi ; Peng, Yun-Jian

  • Author_Institution
    Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China
  • Volume
    4
  • fYear
    2010
  • fDate
    11-14 July 2010
  • Firstpage
    1777
  • Lastpage
    1782
  • Abstract
    In this paper, an epidemiological SEIR system with or without distributed time delay influenced by random perturbations is investigated. By constructing Lya-punov functions and applying Itô´s formula, the stability of the disease-free equilibrium is studied. Moreover, numerical simulations are presented to illustrate the correctness of the proposed methods.
  • Keywords
    Lyapunov methods; delay systems; diseases; epidemics; perturbation techniques; stability; Itô´s formula; Lyapunov function; disease-free equilibrium stability; distributed time delay; epidemiological SEIR system stability; numerical simulation; random perturbation; Itô´s formula; Stability; Stochastic;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
  • Conference_Location
    Qingdao
  • Print_ISBN
    978-1-4244-6526-2
  • Type

    conf

  • DOI
    10.1109/ICMLC.2010.5580967
  • Filename
    5580967