中文摘要：

本文通过建立转换集并引入映射结构研究了一类脉冲捕食微分系统周期解的局部稳定性,给出了其周期解局部稳定性分析的充分条件,克服了因脉冲影响而带来的系统不连续的困难。

英文摘要：

The local stability of periodic solution for a class of impulsive predator-prey differential systems was studied by setting up transition sets and mapping structures. Sufficient conditions for the local stability analysis of the periodic solutions were given,which overcome the difficulty of the discontinuity caused by impulsive effects.