基于害虫的生物控制策略,分别利用Floquet乘子理论及脉冲比较定理,研究了一类具有脉冲效应的一个捕食者一两个食饵模型并进行了分析,得到害虫根除周期解的渐近稳定与系统持续生存条件.
In this paper, a one-predator two-prey model with impulsive effect concerning biological control strategy is proposed and analyzed. The conditions for asymptotic stability of pest-eradication periodic solution and permanence of the system are given respectively by using the theory of Floquet multiplier and the comparison theorem of impulsive differential equations.