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.

中文翻译：

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关于实际稳定性 $H$可变脉冲摄动的混合Kolmogorov系统的流形

本论文致力于解决实际稳定性问题。 $H$-脉冲Kolmogorov系统的歧管。考虑可变的脉冲扰动。我们将根据向量Lyapunov的分段连续函数方法研究这些问题。例如，阐述了Lotka–Volterra系统的情况。还检查了不确定参数对模型稳定性行为的影响。获得的结果扩展并补充了Kolmogorov和相关系统的现有稳定性结果。