Abstract
A stochastic chemostat model in random environments that is driven by Brownian motions and subjected to Markov regime switching is considered. The new break-even concentration, i.e., critical value between persistence in mean and extinction is explored for the microorganism species. Moreover, sufficient conditions for ergodicity and positive recurrence is established by using stochastic Lyapunov analysis. Numerical simulations are accomplished to verify the analytical results.
•We develop a stochastic chemostat model with Monod growth function under regime switching.•The precise threshold for persistence in mean and extinction has been established.•We proof that the stochastic chemostat model has ergodic property and the system is positive recurrent.•Both the white and colored noise have major impacts on microorganism species’ persistence and extinction.