Global analysis of a model of bioreactor with cell recycling using general form of rate functions

Abstract

A dynamical model of an activated sludge process is considered. A mathematical analysis of the model equations with general rate functions is given. The dissipativity, boundedness, invariance of non-negativity, persistence, stability, bifurcation and periodicity of solutions are discussed. It was also shown that the rate functions have no influence for stability in the special case disinfected feed.