中文摘要：

研究了一类带Monod增长率及脉冲状态反馈控制的微生物杀虫剂模型．证明了无脉冲系统的负向全局渐近稳定性及带有脉冲状态反馈控制系统具有阶一周期解，并且给出阶一周期解存在和稳定的充分条件．数值模拟验证了理论结果．

英文摘要：

In this paper, a microbial pesticide model with the Monod growth rate and impulsive state feedback control is investigated. We prove that the system without impulsive state feedback control is global asymptotic stability of negative direction. And then, we obtain that the system with impulsive state feedback control has periodic so- lution of order one. Sufficient conditions for existence and stability of periodic solution of order one are given. The numerical simulation is presented to verify the theoretical results.