Periodic solutions for a delayed competitive chemostat model with periodic nutrient input and rate

Abstract

A nonautonomous periodic chemostat model with delays modelling n species in competition is considered. Sufficient conditions on the coefficients and consumption functions for the species are given, for both the extinction of the species and for the existence of n nontrivial and nonnegative periodic solutions. Further criteria guarantee that the system admits at least one strictly positive periodic solution.

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