  In this paper we correct an error made in a previous work, where a misleading
stochastic system was obtained due to a lapse concerning a sign in one of the
equations at the beginning of the work such that the results obtained are quite
different to the ones developed throughout this paper since the required
conditions, and also the results, substantially change. Then, in this work we
repair the analysis carried out there, where we studied a simple chemostat
model influenced by white noise by making use of the theory of random
attractors. Even though the changes are minor, we have chosen to provide a new
version of the entire paper instead of a list of changes, for sake of
readability. We first perform a change of variable using the Ornstein-Uhlenbeck
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.
