Periodic and chaotic solutions for a model of a bioreactor with cell recycle

A heterogenous model of bioreactor with cell recycle is proposed to predict complex dynamic behavior of such system. The model is based on interactive kinetics between substrate and dissolved oxygen and takes into account the external mass transfer resistance around the biological floc. The investigation of the static and dynamic bifurcation of the model shows that periodic and chaotic behavior occur for some range of feed conditions and dissolved oxygen levels as confirmed by several experimental studies which have been reported in the literature. The ability of the proposed model to predict periodic and/or chaotic behavior is investigated over a wide range of model parameters.