• Title of article

    The threshold of stochastic chemostat model with Monod-Haldane response function

  • Author/Authors

    Cao ، Zhongwei - Jilin University of Finance and Economics , Liu ، Liya - China University of Petroleum

  • Pages
    8
  • From page
    4364
  • To page
    4371
  • Abstract
    This paper deals with problem of a stochastic chemostat model with Monod-Haldane response function. Firstly, we confirm the truth of the existence and uniqueness of the positive solution to the system. Then, we show the condition for the microorganism to be extinct. Moreover, we investigate there is a stationary distribution of this stochastic system and finally, we derive the expression for its invariant density.
  • Keywords
    Stochastic chemostat model , threshold , extinction , persistence , stationary distribution
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2017
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2476806