Global dynamics of the chemostat with overflow metabolism

Fast growing E. coli cells, in glucose-aerobic conditions, excrete fermentation by-products such as acetate. This phenomenon is known overflow metabolism and has been observed a diverse range of microorganisms. In this paper, we study chemostat model subject to metabolism: if the substrate uptake rate (or specific growth rate) above threshold (different from zero), then secretion by-product happens. We assume that presence an inhibitory effect on microorganism. The described by non-smooth differential system dimension three. prove existence at most one equilibrium steady-state) with microorganism, which globally stable. use these results discuss performance chemostat-type systems produce biomass or recombinant proteins.