一个脉冲捕食-食饵系统的灭绝与持续生存(I)

The extinction and permanent existence of an impulse predator-prey system (Ⅰ)

通过对捕食者引入脉冲投放拓展了传统的Lotka-Volterra捕食-食饵模型,考虑了一个在脉冲干扰下具有HollingII功能反应的三种群捕食-食饵系统的灭绝性与持续生存性,建立了相应的充分条件,并利用Floquet乘子理论加以证明。

In this paper, we develop the traditional Lotka-Volterra predator-prey model by introducing impulse to the predator.The extinction and permanent existence of a three-species predator-prey system with the functional response of Holling Ⅱ is considered under the interference of impulse.And the relevant sufficient conditions are established and proved by the theory of Floquet multiplier.