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Increasing the dilution rate can globally stabilize two-step biological systems

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Harmand, J. [INRAE, Univ Montpellier, LBE, 102 avenue des Etangs, 11100, Narbonne, France] Rapaport, A. [INRAE, Univ. Montpellier, MISTEA, Montpellier SupAgro, France] Dochain, Denis [UCL]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2020
Language Anglais
Journal information "Journal of Process Control" - Vol. 95, p. 67-74 (2020)
Peer reviewed yes
Publisher Elsevier BV
issn 0959-1524
Publication status Publié
Affiliation UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique
Keywords Control and Systems Engineering ; Modelling and Simulation ; Industrial and Manufacturing Engineering ; Computer Science Applications
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Bibliographic reference Harmand, J. ; Rapaport, A. ; Dochain, Denis. Increasing the dilution rate can globally stabilize two-step biological systems. In: Journal of Process Control, Vol. 95, p. 67-74 (2020)
Permanent URL http://hdl.handle.net/2078.1/240671