Stability and Periodicity in Competitive Systems with Impulses

A two dimensional, competitive Lotka-Volterra system, with impulsive effects, is studied. It is shown that if the coefficients are continuous, periodic and satisfy certain average conditions then a positive periodic solution there exists which is globally asymptotically stable in \mathbbR²₊{\mathbb{R}^{2}_{+}}. Our investigations confirm and generalize previous recent results.