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

Journal Article


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.

Publication Date


  • 2012

Citation


  • Alqahtani, R. Turki., Nelson, M. I. & Worthy, A. L. (2012). Analysis of a chemostat model with variable yield coefficient: contois kinetics. Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 53 (Electr. Suppl.), C155-C171.

Scopus Eid


  • 2-s2.0-84897848727

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1894

Start Page


  • C155

End Page


  • C171

Volume


  • 53

Issue


  • Electr. Suppl.

Place Of Publication


  • http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5093

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.

Publication Date


  • 2012

Citation


  • Alqahtani, R. Turki., Nelson, M. I. & Worthy, A. L. (2012). Analysis of a chemostat model with variable yield coefficient: contois kinetics. Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 53 (Electr. Suppl.), C155-C171.

Scopus Eid


  • 2-s2.0-84897848727

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1894

Start Page


  • C155

End Page


  • C171

Volume


  • 53

Issue


  • Electr. Suppl.

Place Of Publication


  • http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5093