本文研究了一类食饵有扩散的脉冲Holling-Ⅱ型时滞捕食者-食饵系统.利用重合度理论,获得了该系统至少存在一个正周期解的充分条件,从而使该种群达到了一个新的适宜各物种持续共存、发展的稳定状态.
In this article, a class of delay periodic predator-prey systems with functional response (Holling-Ⅱ) and impulsive effect and diffusion is studied. By means of the coincidence degree theory, the authors establish a sufficient condition for the existence of positive periodic solution of the model, so the species arrive at a new stable state in which they could sustainably develop.