Numerical research of the chemostat model for the single-nutrient competition

Abstract

The continuous culture of micro-organisms using the chemostat is an important research technique in microbiology and population biology. We consider here chemostat model for the single-nutrient competition. For the model we find the solution when the parametric relation a1 = a2 is observed. It is to be proved that integration of the original system of the differential equations of the third order is reduced to integration of the differential equation of the first order. By performing a numeric integration we can find the solution to the model considered. The program module is built which allows visualizing the solutions for the concrete values of parameters changing in the set intervals.