• DocumentCode
    668343
  • Title

    Delay Lotka-Volterra competition system with random perturbation

  • Author

    Hailong Gao ; Yanqiu Li

  • Author_Institution
    Dept. of Basic Sci., Jilin Archit. & Civil Eng. Inst., Changchun, China
  • Volume
    1
  • fYear
    2013
  • fDate
    23-24 Nov. 2013
  • Firstpage
    5
  • Lastpage
    8
  • Abstract
    This paper discusses a randomized n-species delay Lotka-Volterra competition system. We show that the positive solution of the associated stochastic delay differential equation does not explode to infinity in a finite time. In addition the existence uniqueness and boundedness of the positive solutions are studied.
  • Keywords
    Volterra equations; delays; stochastic processes; associated stochastic delay differential equation; delay Lotka-Volterra competition system; positive solution; random perturbation; Delays; Differential equations; Equations; Mathematical model; Noise; Sociology; Stochastic processes; Existence; Ito formula; Lyapunov-functional; Uniqueness Boundedness;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Management, Innovation Management and Industrial Engineering (ICIII), 2013 6th International Conference on
  • Conference_Location
    Xi´an
  • Print_ISBN
    978-1-4799-3985-5
  • Type

    conf

  • DOI
    10.1109/ICIII.2013.6702872
  • Filename
    6702872