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Analysis of a Chemostat Model with Variable Yield Coefficient

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Abstract

We investigate a chemostat model in which the growth rate is given by a Monod expression with a variable yield coefficient. This model has been investigated by previous researchers using numerical integration. We combine analytical results with path-following methods. The conditions for washout to occur are found. When washout does not occur we establish the conditions under which the reactor performance is maximised at either a finite or infinite residence time. We also determine the parameter region in which oscillations may be generated in the reactor, which was the primary feature of interest to earlier workers on this problem.

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Authors and Affiliations

  1. School of Mathematics and Applied Statistics, The University of Wollongong, Wollongong, NSW, 2522, Australia

    M. I. Nelson

  2. School of Physical, Environmental and Mathematical Science, UNSW at ADFA, Canberra, ACT, 2600, Australia

    H. S. Sidhu

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  1. M. I. Nelson
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  2. H. S. Sidhu
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Correspondence to M. I. Nelson.

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Nelson, M.I., Sidhu, H.S. Analysis of a Chemostat Model with Variable Yield Coefficient. J Math Chem 38, 605–615 (2005). https://doi.org/10.1007/s10910-005-6914-2

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  • DOI: https://doi.org/10.1007/s10910-005-6914-2

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