Year: 2019
Author: Caibin Zeng, Binghui Liao, Jianhua Huang
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.335
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 335–354
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Stochastic chemostat model random attractors Wong-Zakai approximation conjugacy method.