New criteria on persistence in mean and extinction for stochastic competitive Lotka–Volterra systems with regime switching

This paper concerns persistence in mean and extinction for stochastic competitive Lotka–Volterra systems with regime switching. By using some novel stochastic analysis techniques, sufficient criteria for the partial permanence and partial extinction are established. Some novel sufficient conditions on persistence in mean and extinction are also obtained. Nontrivial examples are provided to illustrate our results.