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

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.