Global dynamics of the buffered chemostat for a general class of response functions View Full Text


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Article Info

DATE

2015-07

AUTHORS

Alain Rapaport, Ihab Haidar, Jérôme Harmand

ABSTRACT

We study how a particular spatial structure with a buffer impacts the number of equilibria and their stability in the chemostat model. We show that the occurrence of a buffer can allow a species to persist or on the opposite to go extinct, depending on the characteristics of the buffer. For non-monotonic response functions, we characterize the buffered configurations that make the chemostat dynamics globally asymptotically stable, while this is not possible with single, serial or parallel vessels of the same total volume and input flow. These results are illustrated with the Haldane kinetic function. More... »

PAGES

69-98

References to SciGraph publications

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    http://scigraph.springernature.com/pub.10.1007/s00285-014-0814-7

    DOI

    http://dx.doi.org/10.1007/s00285-014-0814-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1026824453

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/25017485


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