Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate | Zendy

Chaoqun Xu | Zendy; Sanling Yuan | Zendy; Tonghua Zhang | Zendy

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Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate

Author(s) -

Chaoqun Xu,

Sanling Yuan,

Tonghua Zhang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/423154

Subject(s) - chemostat , mathematics , dilution , perturbation (astronomy) , white noise , stochastic modelling , washout , control theory (sociology) , statistical physics , statistics , thermodynamics , physics , computer science , biology , genetics , control (management) , quantum mechanics , artificial intelligence , meteorology , bacteria

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 the mean of the stochastic system and washout of the microorganism are obtained. Numerical simulations are carried out to support our results

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