A Delayed Monod Chemostat Competition Model with Pulsed Input and Inhibitor in Polluted Environment

In this paper, a two microorganisms and two nutrient chemostat competitive model with time delay and impulsive effect is considered. Besides, a polluted environment and an inhibitor were considered in this model. By using the theorem of the impulsive differential equations and delay differential equations, we obtain the sufficient conditions for the global attractivity of the microorganisms extinction periodic solution and the permanence of the system. Finally, the numerical simulations are presented for verifying the theoretical conclusions.