Abstract We revisit two-step mass-balance models of biological processes as met to describe numerous biological systems including the anaerobic digestion or the nitrification process in view of its global stabilization. We show that when a bi-stability occurs, it can be possible to globally stabilize the dynamics toward an unique positive equilibrium by increasing the dilution rate. We give sufficient conditions on the growth functions of the model for this situation to appear. This illustrates that for biological multi-step reactional systems, increasing the residence time (e.g. decreasing the input flow rate) may not be the only way to stabilize the dynamics.

中文翻译：

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提高稀释率可以全局稳定两步生物系统

摘要 我们重新审视了生物过程的两步质量平衡模型，以描述众多生物系统，包括厌氧消化或硝化过程，鉴于其整体稳定。我们表明，当双稳态发生时，可以通过增加稀释率来全局稳定动力学朝着独特的正平衡。我们对模型的增长函数给出了出现这种情况的充分条件。这说明对于生物多步反应系统，增加停留时间（例如降低输入流速）可能不是稳定动力学的唯一方法。