• Title of article

    Influence of stochastic perturbation on prey–predator systems

  • Author/Authors

    Rudnicki، نويسنده , , Ryszard and Pichَr، نويسنده , , Katarzyna، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    12
  • From page
    108
  • To page
    119
  • Abstract
    We analyse the influence of various stochastic perturbations on prey–predator systems. The prey–predator model is described by stochastic versions of a deterministic Lotka–Volterra system. We study long-time behaviour of both trajectories and distributions of the solutions. We indicate the differences between the deterministic and stochastic models.
  • Keywords
    diffusion process , Markov semigroups , asymptotic stability , Prey–predator model
  • Journal title
    Mathematical Biosciences
  • Serial Year
    2007
  • Journal title
    Mathematical Biosciences
  • Record number

    1589014