具有脉冲和HollingⅢ类功能反应的捕食系统的持续生存和周期解

Persistence and Periodic Solution for the Predator-Prey System with Impulse and Type Ⅲ Functional Response

利用含脉冲的比较原理和分段Lyapunov方法，讨论了具有脉冲项和Holling Ⅲ类功能反应的捕食系统的持续生存性、周期解的存在唯一性和全局吸引性，给出了保持这些性质时脉冲项应满足的界限，系统的特例改进了相关文献所得结果。

For the two species periodic predator-prey system with impulse and type Ⅲ functional response, we discuss the persistence, the existence and uniqueness of periodic solution, and the global attractivity by comparison principle. And prior bounds are given to keep these qualities of the system.