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Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate

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posted on 2024-07-09, 16:05 authored by Chaoqun Xu, Sanling Yuan, Tonghua ZhangTonghua Zhang
We present a stochastic simple chemostat model in which the dilution rate was influenced by white noise.The long time behavior of the system is studied.Mainly, we show how the solution spirals around the washout equilibrium and the positive equilibrium of deterministic system under different conditions. Furthermore, the sufficient conditions for persistence in themean of the stochastic system and washout of the microorganism are obtained. Numerical simulations are carried out to support our results.

Funding

Shanghai Municipal Education Commission

National Natural Science Foundation of China

Numerical analysis of large branch system and its application in the fuel cell system : National Natural Science Foundation of China | 11001212

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ISSN

1085-3375

Journal title

Abstract and Applied Analysis

Volume

2013

Article number

article no. 423154

Pagination

1-11

Publisher

Hindawi Publishing Corporation

Copyright statement

Copyright © 2013 Chaoqun Xu et al. This an open access article distributed under the Creative Commons Attribution Attribution 3.0 Unported License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The published version is reproduced in accordance with this policy.

Language

eng

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    CC BY 3.0

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