TY - JOUR
T1 - Dynamics of the Stochastic Chemostat Model with Monod-Haldane Response Function
AU - Zeng , Caibin
AU - Liao , Binghui
AU - Huang , Jianhua
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 335
EP - 354
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.335
UR - https://global-sci.org/intro/article_detail/jnma/18847.html
KW - Stochastic chemostat model, random attractors, Wong-Zakai approximation, conjugacy method.
AB - <p style="text-align: justify;">This paper is devoted to the asymptotic dynamics of stochastic chemostat model with Monod-Haldane response function. We first prove the existence of random attractors by means of the conjugacy method and further construct a general condition for internal structure of the random attractor, implying extinction of the species even with small noise. Moreover, we show that the attractors of Wong-Zakai approximations converges to the attractor of the stochastic chemostat model in an appropriate sense.</p>