@Article{JNMA-1-3, author = {Zeng, Caibin and Liao, Binghui and Jianhua, Huang}, title = {Dynamics of the Stochastic Chemostat Model with Monod-Haldane Response Function}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2019}, 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 = {https://global-sci.com/article/88049/dynamics-of-the-stochastic-chemostat-model-with-monod-haldane-response-function} }