Title

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.