Asymptotic stability of competitive systems with delays and impulsive perturbations

A general impulsive nonautonomous Lotka–Volterra system of integro-differential equations with infinite delay is considered. The impulses are realized at fixed moments of time. Sufficient conditions for uniform stability and asymptotic stability of solutions are investigated. The main results are obtained by using the comparison principle and the Lyapunov method. © 2007 Elsevier Inc. All rights reserved.