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arXiv · 2403.07002

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

Teresa Faria
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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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Teresa Faria. 2024-03-06. Periodic solutions for a delayed competitive chemostat model with periodic nutrient input and rate. https://arxiv.org/abs/2403.07002

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