Impulsive control for stability of nn-species Lotka–Volterra cooperation models with finite delays

In this paper, the asymptotic behavior of some nn-species Lotka–Volterra cooperation systems with finite delays and impulsive perturbations at fixed moments of time is studied. By using the Lyapunov–Razumikhin method sufficient conditions for uniform asymptotic stability of the solutions are obtained. We shall show, also, that the role of impulses in controlling the behavior of solutions of impulsive differential equations is very important.