Mathematical model with time‐delay and delayed controller for a bioreactor

In this paper, a fractional Lotka–Volterra mathematical model for a bioreactor is proposed and used to fit the data provided by a bioprocess known as continuous fermentation of Zymomonas mobilis. The model contemplates a time‐delay τ$$ \tau $$ due to the dead‐time (non‐trivial) that the microbe need...

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Bibliographic Details

Published in:	Mathematical methods in the applied sciences Vol. 46; no. 1; pp. 248 - 266
Main Authors:	Villafuerte‐Segura, Raúl, Itzá‐Ortiz, Benjamín A., López‐Pérez, Pablo A., Alvarado‐Santos, Eduardo
Format:	Journal Article
Language:	English
Published:	Freiburg Wiley Subscription Services, Inc 15.01.2023
Subjects:	bifurcation theory Biomass Bioreactors Controllers Delay delay control/observation systems Feedback control Hopf bifurcation Lotka–Volterra model mathematical modeling or simulation for problems pertaining to biology Mathematical models Norton–Simons–Massagué model Substrates Zymomonas mobilis
ISSN:	0170-4214, 1099-1476
Online Access:	Get full text
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