Competition in the Chemostat with Time-Dependent Differential Removal Rates

Guihong Fan; Hal Smith; Horst Thieme

doi:10.1007/s10013-016-0208-9

Competition in the Chemostat with Time-Dependent Differential Removal Rates

Guihong Fan, Hal Smith, Horst Thieme

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English (US)
Pages (from-to)	153-178
Number of pages	26
Journal	Vietnam Journal of Mathematics
Volume	45
Issue number	1-2
DOIs	https://doi.org/10.1007/s10013-016-0208-9
State	Published - Mar 1 2017

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s10013-016-0208-9

Cite this

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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.",

keywords = "Competitive exclusion, Dissipativity, Non-autonomous dynamics, Persistence, Seasonality, Uniform eventual boundedness",

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AU - Thieme, Horst

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N2 - 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.

AB - 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.

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KW - Dissipativity

KW - Non-autonomous dynamics

KW - Persistence

KW - Seasonality

KW - Uniform eventual boundedness

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ER -

Competition in the Chemostat with Time-Dependent Differential Removal Rates

Abstract

Keywords

ASJC Scopus subject areas

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