【摘要】 污水处理是环境保护的主要内容之一，通过机理分析为污水处理提供理论依据是非常重要的.基于经典微生物和底物的物料守恒的数学模型，通过计算该数学模型的雅可比矩阵，分析了模型平衡点的存在性和动力学性质，给出了模型平衡点稳定的充分性条件，用数值模拟的方法对分析结果进行了有效验证，从数学分析的角度对污水处理过程中参数的设置提出了一些建议，以提升污水处理效果，并用数值模拟验证建议的正确性.更多还原

【Abstract】 Sewage treatment is one of the main contents of environmental protection, so it is very important to provide a theoretical basis for sewage treatment through the analysis of the mechanism.Based on the classical material conservation mathematical model of microorganism and substrate, this paper analyzed the existence and stability of each equilibrium point of the model by calculating the Jacobian matrix of the model, and gave the sufficient conditions to make the stability of the equilibrium point of the model.The numerical simulation method is used to effectively verify the analysis results.In order to improve the effect of sewage treatment, we put forward some suggestions on the setting of relevant parameters in the sewage treatment process from the perspective of mathematical analysis, and verified the correctness of the suggestions by numerical simulation method.更多还原