Almost periodic solutions of NN-dimensional impulsive competitive systems

In this paper we study the existence of almost periodic solutions of a general Lotka–Volterra NN-dimensional impulsive competitive system with fixed moments of impulsive perturbations. By means of piecewise continuous functions, which are modifications of classical Lyapunov’s functions, we give new sufficient conditions for the global exponential stability of the unique positive almost periodic solution of the system.