Abstract
In this study, the steady states of an anaerobic digestion model are analytically computed and characterized. The influence of the dilution rate on the system states and methane outflow rate is illustrated by means of one-parameter bifurcation diagrams. A two-parameter bifurcation diagram is also computed. This diagram illustrates the combined effect of the dilution rate and inlet substrate concentration on the system steady states and allows to determine corrective actions (in terms of selecting appropriated inputs) for preserving system stability and efficiency. Expressions for all the boundaries and critical points appearing in the diagram are provided. Furthermore, the complex system behavior is illustrated by means of phase portraits. The paper emphasizes the methodology, which can also be applied to other bioprocesses taking place in continuously stirred tank reactors. The method allows practitioners to build two-parameter bifurcation diagrams by solving a set of algebraic equations. This implies low computational requirements.
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