论文标题
两步厌氧消化模型的操作图
The Operating Diagram for a Two-Step Anaerobic Digestion Model
论文作者
论文摘要
厌氧消化模型1（ADM1）是一个复杂的模型，被广泛接受为厌氧过程建模和仿真的常见平台。但是，它具有大量的参数，并妨碍其分析研究。在这里，我们考虑了厌氧消化的两步减少模型（AM2），该模型是普通微分方程的四维系统。 AM2模型能够充分捕获完整的厌氧消化模型ADM1的主要动力学行为，并具有对其稳态的存在和局部稳定性的完整分析。我们描述了其操作图，这是分叉图，它赋予了系统的行为相对于稀释率和底物的输入浓度所代表的工作参数的行为。该图对从数学和生物学观点都了解模型非常有用。
The Anaerobic Digestion Model No. 1 (ADM1) is a complex model which is widely accepted as a common platform for anaerobic process modeling and simulation. However, it has a large number of parameters and states that hinder its analytical study. Here, we consider the two-step reduced model of anaerobic digestion (AM2) which is a four-dimensional system of ordinary differential equations. The AM2 model is able to adequately capture the main dynamical behavior of the full anaerobic digestion model ADM1 and has the advantage that a complete analysis for the existence and local stability of its steady states is available. We describe its operating diagram, which is the bifurcation diagram which gives the behavior of the system with respect to the operating parameters represented by the dilution rate and the input concentrations of the substrates. This diagram, is very useful to understand the model from both the mathematical and biological points of view.
