Sadovnichiy, Victor A.Zgurovsky, Mikhail Z.2017-04-272017-04-272016Caraballo Garrido, T., Garrido Atienza, M.J., y López de la Cruz, J. (2016). Some aspects concerning the dynamics of stochastic chemostats. En M.Z. Zgurovsky, V.A. Sadovnichiy (Ed.), Advances in Dynamical Systems and Control (pp. 227-246). Springer97833194067259783319406732http://hdl.handle.net/11441/58688In this paper we study a simple chemostat model influenced by white noise which makes this kind of models more realistic. We use the theory of random attractors and, to that end, we first perform a change of variable using the OrnsteinUhlenbeck process, transforming our stochastic model into a system of differential equations with random coefficients. After proving that this random system possesses a unique solution for any initial value, we analyze the existence of random attractors. Finally we illustrate our results with some numerical simulations.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/978-3-319-40673-2_11