摘要
本文研究一类食饵种群具有阶段结构的Beddington-DeAngelis功能性反应的捕食者-食饵系统的动力学行为。通过建立一定的条件,得到了保证该系统捕食者和食饵种群得以持久生存的充分条件和必要条件。此外,这一充分条件也保证了该系统正周期解的存在性。
In this paper, we study the dynamic behavior of a class of predator'prey system with stage-structure and Beddington-DeAngelis functional response. Under certain assumptions, suflqeient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained. In addition, the suffieient conditions are derived for the existence of positive periodic solutions to the system.