• DocumentCode
    1701684
  • Title

    Asymptotic stability of stochastic delay Lotka-Volterra model with fractional Brownian motion

  • Author

    Qimin, Zhang ; Xining, Li

  • Author_Institution
    Sch. Math. & Comput. Sci., Ningxia Univ., Yinchuan, China
  • fYear
    2010
  • Firstpage
    3920
  • Lastpage
    3924
  • Abstract
    In this paper, a stochastic delay Lotka-Volterra model with Hurst exponent H being in (0, 1/2) is established. Sufficient conditions of asymptotic stability are obtained for stochastic delay Lotka-Volterra model with fractional Brownian motion. The analyses are conducted by using Itô formula, elementary inequality, Borel-Cantelli lemma, derived for stability purposes.
  • Keywords
    Brownian motion; Volterra equations; asymptotic stability; delays; stochastic processes; Borel Cantelli lemma; Hurst exponent H; Ito formula; asymptotic stability; elementary inequality; fractional Brownian motion; stochastic delay Lotka Volterra model; Brownian motion; Delay; Differential equations; Equations; Mathematical model; Noise; Stochastic processes; Fractional Brownian motion; Lotka-Volterra; Stochastic differential delay equation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Automation (WCICA), 2010 8th World Congress on
  • Conference_Location
    Jinan
  • Print_ISBN
    978-1-4244-6712-9
  • Type

    conf

  • DOI
    10.1109/WCICA.2010.5554981
  • Filename
    5554981
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1701684