Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics

This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random fluctuations on the input flow, which are modeled by means of well-known Ornstein-Uhlenbeck process, considered to obtain much more realistic fitting in better way phenomena observed practitioners real devices. Once existence uniqueness global positive solution has been proved, as well deterministic absorbing attracting sets, dynamics inside set is studied detail provide conditions under persistence species ensured, main goal pursued from practical point view. Finally, we support theoretical results several numerical simulations.