• Title of article

    Persistence and non-persistence of a stochastic food chain model with finite delay

  • Author/Authors

    Li ، Haihong - Jilin Construction University , Li ، Haixia - Changchun Guanghua University , Cong ، Fuzhong - Air Force Aviation University

  • Pages
    15
  • From page
    3273
  • To page
    3287
  • Abstract
    In this paper, we study a three species predator-prey time-delay chain model with stochastic perturbation. First, we analyze that this system has a unique positive solution. Then, we deduce the conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.
  • Keywords
    Stochastic differential equation , persistent , non , persistent , extinction
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2017
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2476645