一类具有脉冲的捕食与被捕食系统的动态行为

The dynamical behaviour of the solutions of predator-prey model

研究具有周期脉冲的捕食与被捕食模型的动态行为.通过喷洒杀虫剂和投放天敌的周期不同,得到了捕食系统害虫灭绝周期解的全局稳定性的临界值,分析喷洒杀虫剂和投放天敌的周期如何影响生物控制,为害虫治理提供了策略基础.

The predator-prey system with periodic impulsive intervention at different time points, is investigated, With releases natural enemies either more or less frequent than harvests, a stability threshold condition for pest eradication periodic solution is provided, and the periodic of releases effects was studied on integrated pest management （IPM）. The results provide tactical basis for the practical pest management.