On the practical stability with respect to [formula omitted]-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations

Abstract

The present paper is devoted to the problems of practical stability with respect to h-manifolds for impulsive Kolmogorov systems. Variable impulsive perturbations are considered. We will investigate these problems in the light of the vector Lyapunov’s method of piecewise continuous functions. As an example, the case of Lotka–Volterra systems is elaborated. The effect of uncertain parameters on the stability behavior of the model is also examined. The obtained results extend and complement the existing stability results for Kolmogorov and related systems.