Discontinuous phenomena appear in various research fields. Impulsive differential equations are often used to model such discontinuous dynamics. This study deals with the Lotka–Volterra predator–prey model dominated by impulsive effects. In the modeling, impulses are added considering the ratios of the interior equilibrium to the current populations of the prey and predator. In this case, there is no restriction of the time interval between the impulse and the next impulse being the same. By focusing on the time interval between impulses adjacent to one another as well as the impulsive effect amount, a simple sufficient condition for the interior equilibrium to become globally asymptotically stable and sufficient conditions that are useful for estimating an attraction region are provided. Our results reveal that impulse control for the Lotka–Volterra predator–prey model can reduce the variation in the population of the prey and predator and enable the stable coexistence of both.

不连续现象出现在各个研究领域。脉冲微分方程通常用于对这种不连续动力学建模。这项研究研究了以脉冲效应为主的Lotka–Volterra捕食者–猎物模型。在建模中，考虑内部平衡与捕食者和掠食者当前种群的比率，添加了冲量。在这种情况下，对脉冲和下一个脉冲之间的时间间隔没有限制。通过关注彼此相邻的脉冲之间的时间间隔以及脉冲效果量，提供了使内部平衡变得全局渐近稳定的简单充分条件和用于估计吸引区域的充分条件。