Analysis of a chemostat model with variable yield coefficient: contois kinetics.

Authors

Rubayyi Turki Alqahtani, University of WollongongFollow
Mark I. Nelson, University of WollongongFollow
Annette L. Worthy, University of WollongongFollow

RIS ID

57910

Publication Details

Alqahtani, R. Turki., Nelson, M. I. & Worthy, A. L. (2011). Analysis of a chemostat model with variable yield coefficient: contois kinetics.. In Proceedings Engineering Mathematics and Applications Conference, EMAC-2011, 4-7 Dec 2011, Sydney. Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 53 (Electr. Suppl.), C155-C171.

Abstract

Food processing wastewaters and slurries typically contain high concentrations of biodegradable organic matter. Before the wastewater can be discharged, the pollutant concentration must be reduced. One way to achieve this is by using a biological species (biomass) that consumes the organic matter (substrate). We investigate an unstructured kinetic model for a bioreactor with a variable yield coefficient, taking into account the death rate of the microorganisms. The growth rate is given by a Contois expression, which is often used to model the growth of biomass in wastewaters containing biodegradable organic materials. The analysis shows that the system has natural oscillations for some ranges of the parameters. We also investigate the effects of the death rate parameter on the region of periodic behaviour.