A new contribution to periodic competition systems with delays

A delayed competition system of Lotka–Volterra type, with periodic coefficients, is considered. The topics of existence and global asymptotic stability of a periodic solution are investigated. The novelty of our results consists in the fact that they require only average conditions. In the study of global attractivity an unusual Lyapunov function is introduced. Our method takes advantage of the fact that there is no deviating argument in the negative feedback terms.