本文讨论了一类带有HollingⅡ类功能性反应和脉冲投放的一食饵两捕食者系统.运用Floquet和小振幅扰动理论,证明了当投放周期小于某个临界值时,系统食饵绝灭的周期解是全局渐近稳定的,同时研究了系统的持续生存。
A kind of one-prey two-predator systems with Holling type Ⅱ functional response and impulsive release is presented in this paper. By applying the Floquet theory and small amplitude per- turbation skills,it is proved that the prey-free periodic solution of the system is globally asymptotically stable when the release period is less than certain critical value. Furthermore, permanence of the system is investigated.