Permanence and global stability for nonautonomous NN-species Lotka–Valterra competitive system with impulses

In this paper, we consider a class of nonautonomoua NN-species Lotka–Volterra competitive systems with impulsive effects. Some new criteria on the permanence and global attractivity are established by developing the methods given in [Z. Teng and Z. Li, Permanence and asymptotic behavior of the NN-species nonautonomous Lotka–Volterra competitive systems, Comput. Math. Appl. 39 (2000) 107–116; S. Ahmad and I.M. Stamovab, Asymptotic stability of an NN-dimensional impulsive competitive system, Nonlinear Anal. RWA 8 (2007) 654–663].