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| Dynamics of the Stochastic Chemostat Model with Monod-Haldane Response Function |
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| KeyWord:Stochastic chemostat model random attractors Wong-Zakai approximation conjugacy method |
| Author Name | Affiliation | | Caibin Zeng | School of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, China | | Binghui Liao | School of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, China | | Jianhua Huang | College of Liberal Arts and Science, National University of Defense Technology, Changsha, Hunan 410073, China |
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| 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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