Competition in the Chemostat with Time-Dependent Differential Removal Rates

Guihong Fan, Hal Smith, Horst Thieme

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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
Issue number1-2
StatePublished - Mar 1 2017


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

ASJC Scopus subject areas

  • Mathematics(all)


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