Properties Of Solutions To A Kind Of Unstirred Chemostat Model

A chemostat often called a continuous culture, is a piece of labo-ratory apparatus used for the continuous culture of microorganisms. The nutrient is pumped continuously at a constant rate into a culture vessel whose volume is kept constant by pumping the mixture of the nutrient, metabolisms and microorganisms out at the same rate. The input and output of the nutrient in the chemostat simulate approximately the continuous metabolism in nature and outputs of microorganisms correspond to species migration which often happen in nature. So the chemostat is usually serves as a reactor used in microorganisms culture, waste treatment, biology pharmacy and food processing etc. We can get our expected goals by controlling some microorganisms concentration or adjusting some parameters in the system. Obviously, studies on chemostat have become very necessary. Depending on mathematical methods to model, analyze, control and optimize the system has very important significance in the reactor designing and the cost of producting decreasing.In this paper, an unstirred food-chain chemostat model with Beddington-DeAngelis functional response is discussed. There is a nutrient, a prey and a predator populations in the system, where the predator concentration is changing with the concentration of the nutrient and the prey. The chemostat model takes the form:...