Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance

The aim of the paper is to investigate the global dynamics of mathematical models for a continuous flow bioreactor and a membrane reactor. It assumes that the models include terms representing death of the microorganism and maintenance energy, respectively. By carrying out a qualitative analysis of the models, we give the classification of the equilibria and show that an unstable limit cycle can exist when the non-washout equilibrium is a focus.