@Article{JNMA-1-335, author = {Zeng , CaibinLiao , Binghui and Huang , Jianhua}, title = {Dynamics of the Stochastic Chemostat Model with Monod-Haldane Response Function}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {3}, pages = {335--354}, abstract = {
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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.335}, url = {http://global-sci.org/intro/article_detail/jnma/18847.html} }