Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources

A model of the chemostat involving two populations of microorganisms competing for two complementary, growth-limiting substrates is considered. Instead of assuming the familiar Michaelis-Menten kinetics for nutrient uptake, a general class of functions is used which includes all monotone increasing uptake functions, but which also allows uptake functions that describe inhibition by the substrate at high concentrations. Graphical techniques are …