Characters Of Solutions To An Unstirred Chemostat Model

Abstract A Chemostat often called a continuous culture, is a piece of laboratory apparatus used to culture 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, metabolites 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 or unnatural death which often happen in nature. Using a Chemostat to culture microorganisms is a major means in the study of microbiology and community biology, and it plays an important role in governing the polluted environment, managing and forecasting the ecosystem (especially the aquatic ecosystem). William have pointed that it may be the best experiment for the idealization of the nature that applying a Chemostat to culture microbial populations in the study of community of microorganisms.In this paper, an unstirred Chemostat model with Beddington-DeAngelis functional response is discussed. There are two competitive microorganisms and a growth-limiting nutrient whose concentrations are denoted by u,v and S in the system which takes the form:with boundary condictionsand initial condictionsThe functional response in (1) was introduced by Beddington and DeAngelis et al. It is similar to the well-known Holling type II functional response but has an...