Coexistence in a multi-species chemostat model with Markov switchings

In order to investigate the effect of telegraph noise on coexistence of multi-microorganisms, we propose a multi-species chemostat model with Markov switchings. First, we investigate the basic dynamic properties of the model and its subsystem. Then, we establish sufficient criteria for the coexistence of the model. Finally, the coexistence of multi-microorganisms with the same break-even concentrations for every state is verified, which expands the theory of coexistence for the corresponding deterministic model. The results indicate that telegraph noise is conducive to the coexistence of multi-microorganisms.