Persistence Criteria for a Chemostat with Variable Nutrient Input
Department
Mathematics
Document Type
Article
Publication Date
3-20-2001
Abstract
The standard single-species chemostat model is modified to include a variable nutrient input which is assumed only to be nonnegative, bounded, and continuous. We obtain necessary and sufficient conditions for persistence and show that all solutions of any given chemostat system have the same long-time behavior independent of the initial conditions. Counterexamples shed light on the results obtained.
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