Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

Stationary Distribution and Periodic Solution for the Stochastic Chemostat with Perturbations on Multiple Parameters

Download PDF (568.3 KB) PP. 166 - 176 Pub. Date: October 1, 2018

DOI: 10.22606/jaam.2018.34007

Author(s)

  • Zhen Li*
    College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China

Abstract

We describe the periodic dilution rate and periodic mortality of a stochastic chemostat model with the response of the Monond function. We consider that both nutrient’s input concentration and the death rate of microbe are simultaneously influenced by white noise. For this chemostat, we have found sufficient conditions which have a stationary distribution and stochastic nontrivial positive periodic solution.

Keywords

Stochastic chemostat model; Itˆo’s formula; Nontrivial positive periodic solution

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