两步厌氧消化模型的运行图
The Operating Diagram for a Two-Step Anaerobic Digestion Model
摘要：
厌氧消化1号模型（ADM1）是一个复杂的模型，被广泛接受为厌氧过程建模和模拟的通用平台。然而，它有大量的参数和状态，阻碍了它的分析研究。本文考虑厌氧消化的两步降阶模型（AM 2），它是一个由常微分方程组成的四维系统。AM2模型能够充分捕捉到全厌氧消化模型ADM1的主要动力学行为，并且具有可对其稳态的存在性和局部稳定性进行完整分析的优点。我们描述了它的操作图，这是分岔图，给出了系统的行为相对于由稀释率和底物的输入浓度表示的操作参数。这张图对于从数学和生物学的角度理解模型非常有用。
英文摘要：
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.
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