n Species impulsive migration model with Markovian switching

An n species stochastic impulsive migration Lotka-Volterra model with Markovian switching in N different patches is presented and studied in this paper. By constructing appropriate Lyapunov functions, some sufficient conditions on the global positivity, the ultimate boundedness in mean and the extinction in mean are established. Real world examples are provided to illustrate the validity of our results. A discussion is given in the end.

► We investigate an n species stochastic impulsive migration model. ► The mode of dispersal in the present model is very novel and is very popular in nature. ► Species' global positivity, ultimate boundedness in mean and extinction in mean are derived.