This paper deals with thorough analysis of serial configurations of two chemostats. We establish an in-depth mathematical study of all possible steady states, and we compare the performances of the two serial interconnected chemostats with the performances of a single one. The comparison is evaluated under three different criteria. We analyze, at steady state, the minimization of the output substrate concentration, the productivity of the biomass and the biogas flow rate. We determine specific conditions, which depend on the biological parameters, the operating parameters of the model and the distribution of the total volume. These necessary and sufficient conditions provide the most efficient serial configuration of two chemostats versus one. Complementarily, this mainly helps to discern when it is not advisable to use the serial configuration instead of a simple chemostat, depending on: the considered criterion, the operating parameters fixed by the operator and the distribution of the volumes into the two tanks.

中文翻译：

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两个化学稳定器的串行配置性能标准的研究

本文详细分析了两个恒化器的串行配置。我们对所有可能的稳态进行了深入的数学研究，并将两个串行互连的化学恒温器的性能与单个稳态的性能进行了比较。比较是根据三种不同的标准进行评估的。我们在稳态下分析输出底物浓度，生物质的生产率和沼气流速的最小化。我们确定具体条件，具体条件取决于生物学参数，模型的操作参数以及总体积的分布。这些必要和充分的条件提供了两个化学稳定器相对于一个的最有效的串行配置。相辅相成