Extinction and Permanence of Two-nutrient and One-microorganism Chemostat Model with Pulsed Input in a Polluted Environment

摘要

. In this paper, chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find the microorganism-eradication periodic solution is globally asymptotically stable if the impulsive period T is more than a critical value. We can also find the nutrients and microorganism are permanent if the impulsive period T is less than the critical value.