Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input (Q871401)

Summary: A chemostat model with periodically pulsed input is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution \((u_1^*(t),v_1^*(t),0)\) is globally asymptotically stable if the impulsive period \(T\) is greater than a critical value. At the same time we can find that the nutrient and microorganisms are permanent if the impulsive period \(T\) is less than the critical value.