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.

具有各种构造的生物反应器用于工业和城市废物的生物降解。在本文中，我们研究了非线性生物反应器模型对废物的好氧生物降解的动态性能。拟议的模型考虑了氧的转移，细胞的衰变，细胞衰变的Contois生长动力学，而假定生物量的产量系数取决于底物。

在这里，已经严格检验了解决方案的时间演化，参数的敏感性和所提出模型的可控制性的一些关键特性。溶液的非稳态行为已通过分析和数值研究。可以肯定的是，在这项研究中，所提出的模型能够捕获包括双稳态和振荡在内的一系列解决方案行为。

稳态溶液及其稳定性已通过生物反应器的停留时间进行了评估。在这里，研究了一些特定的数学条件来描述不同稳态的数量及其稳定性。还对生物反应器模型的性能分析进行了研究，以验证该模型。还研究了物理上有意义的参数区域内的解的周期性。