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Dynamics of some stochastic chemostat models with multiplicative noise

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In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these… Click to show full abstract

In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these models, as well as the existence of the random attractor associated to the random dynamical system generated by the solution. The analysis will be carried out by means of the well-known Ornstein-Uhlenbeck process, that allows us to transform our stochastic chemostat models into random ones.

Keywords: chemostat models; dynamics stochastic; noise; models multiplicative; stochastic chemostat

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017

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