The persistence in a Lotka–Volterra competition systems with impulsive

In this paper, a nonautonomous two-dimensional competitive Lotka–Volterra system with impulsive is considered. we study the persistence and extinction, giving two inequalities involving averages of the growth rates and impulsive value, which guarantees persistence of the system. An extension of the principle of competition exclusion is obtained in this paper. Moreover, several examples are also worked out, they show that the impulsive can change the persistence of the system.