Title

Competition in the Chemostat with Time-Dependent Differential Removal Rates

Document Type

Article

Publication Date

3-1-2017

Publication Title

Vietnam Journal of Mathematics

Volume

45

First Page

153

Last Page

178

Keywords

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

Abstract

© 2016, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore. 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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