Abstract
Bioeactors with various configuration are used for the biodegradation of industrial and municipal wastes. In this article we study dynamic performance of a nonlinear bioreactor model for the aerobic biodegradation of wastes. The proposed model accounts for oxygen transfer, cells decay, Contois growth kinetics for cells decay, while the biomass yield coefficient is assumed to depend on the substrate.
Some key properties of time evolution of the solutions, sensitivity of parameters and controllability of the proposed model have been rigorously examined here. Unsteady behavior of solutions have been studied both analytically and numerically. It is confirms in this study that the proposed model is able to capture a range of solution behavior including bistability and oscillations.
The steady state solutions and their stability has been evaluated with the bioreactor residence time. Here a few specific mathematical conditions are studied to describe the number of different steady states and their stability. Performance analysis of the bioreactor model has also been studied to validate the model. Periodicity of solutions within a physically meaningful parameter regions for are also investigated.