Competition in the Chemostat with Time-Dependent Differential Removal Rates

Guihong Fan, Hal Smith, Horst Thieme

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

For a chemostat with time-dependent removal rates that may differ between species, it is shown that a microbial species dies out if there is another species that has both a lower break-even concentration and a “less concave” functional response. Conditions are also derived for microbial concentrations to remain bounded and the overall microbial population to persist.

Original languageEnglish (US)
Pages (from-to)153-178
Number of pages26
JournalVietnam Journal of Mathematics
Volume45
Issue number1-2
DOIs
StatePublished - Mar 1 2017

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Chemostat
Functional Response
Die

Keywords

  • Competitive exclusion
  • Dissipativity
  • Non-autonomous dynamics
  • Persistence
  • Seasonality
  • Uniform eventual boundedness

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Competition in the Chemostat with Time-Dependent Differential Removal Rates. / Fan, Guihong; Smith, Hal; Thieme, Horst.

In: Vietnam Journal of Mathematics, Vol. 45, No. 1-2, 01.03.2017, p. 153-178.

Research output: Contribution to journalArticle

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