Asymptotic behavior of a stochastic nonautonomous Lotka–Volterra competitive system with impulsive perturbations

This paper is concerned with an $n$ ‐species stochastic nonautonomous Lotka–Volterra competitive system with impulsive effects. Some dynamical properties are investigated and the sufficient conditions for stochastic permanence, extinction and global stability are established. Moreover, the lower‐growth rate and the upper‐growth rate of the positive solution are studied. In addition, the limit of the average in time of the sample paths of solutions is estimated.