中文摘要：

基于害虫综合管理策略，利用Floquent理论和微小振动法，研究了一类具有Monod—Haldane功能反应和脉冲发生在不同固定时刻的一食饵一两捕者系统复杂的动力学性质，得到了系统食饵灭绝的条件．由脉冲比较定理和Lyapunov函数方法，证明了系统持续生存的条件．数值模拟表明，系统存在倍周期分支、混沌和半周期分支等复杂的动力学性质．

英文摘要：

In this paper, considering the strategy of integrated pest management （IPM）, a class of one-prey two predator system with the Monod-Haldane functional response and impulsive effect at different fixed times is studied. Conditions for the system to be extinct are given via the Floquent theory and small amplitude perturbation skill. It is proved that the system is permanent by using the method of comparison involving multiple Lyapunov Functions. Numerical simulation shows that there exists complexity for system, such as periodic doubling bifurcation, chaos, periodic halving cascade.