On a nonautonomous competitive system subject to stochastic and impulsive perturbations

- A nonautonomous impulsive stochastic competitive system is considered.
- Sufficient conditions for stochastic permanence and extinction are established.
- The influences of stochastic and impulsive perturbations are shown.

This paper presents a nonautonomous impulsive stochastic differential model of competition between species which contains the classic two-species competitive Lotka-Volterra model as a special case. With the theory of impulsive stochastic differential equations, a good understanding of stochastic permanence and extinction of system is obtained. Two specific numerical examples are presented to support the analytical results. Conclusions are also given.