A DELAYED CHEMOSTAT MODEL WITH IMPULSIVE PERTURBATION ON THE NUTRIENT CONCENTRATION

A delayed chemostat model with impulsive perturbation on the nu- trient concentration and a general nutrient uptake function is considered. The nutrient conversion process involves time delay. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact microorgani- sm-eradication periodic solution of the model and prove the microorganism- eradication periodic solution is globally attractive, provided that the amount of impulsive substrate is less than some critical value. When the amount of impulsive substrate is larger than some critical value, the system is permanent. Computer simulations illustrate the results.