Competition in the Chemostat with Time-Dependent Differential Removal Rates
Vietnam Journal of Mathematics
Competitive exclusion, Dissipativity, Non-autonomous dynamics, Persistence, Seasonality, Uniform eventual boundedness
© 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.
Fan, Guihong; Smith, Hal L.; and Thieme, Horst R., "Competition in the Chemostat with Time-Dependent Differential Removal Rates" (2017). Faculty Bibliography. 2945.