一类带有脉冲输入的捕食者-食饵恒化器模型的动力学性质(英文)

The Dynamic Behaviors of a Predator-prey System Modelling for a Chemostat with Impulsive Input

摘要: 给出了一类脉冲输入培养基的捕食者-食饵恒化器模型,获得了一个食饵(或捕食者)和培养基共存的正周期解,并且对这个周期解具有侵入阈值进行稳定性分析.当投放周期大于某个临界值时,这个周期解失去稳定性.

Abstract: A simple model for a chemostat with predatorprey and periodically pulsed substrate is given in this paper,the exact periodic solutions with positive concentrations of substrate and prey(predator) is obtained,stability of this solution which yields an invasion threhold is analysed.When the period is more than the critical value,the periodic solution loses its stability.