Ergodicity and threshold behaviors of a predator-prey model in stochastic chemostat driven by regime switching

摘要

This paper deals with a stochastic predator-prey model in chemostat which is driven by Markov regime switching. For the asymptotic behaviors of this stochastic system, we establish the sufficient conditions for the existence of the stationary distribution. Then, we investigate, respectively, the extinction of the prey and predator populations. We explore the new critical numbers between survival and extinction for species of the dual-threshold chemostat model. Numerical simulations are accomplished to confirm our analytical conclusions.