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Research Article Open access CC BY 4.0

Chemostat Model with Periodic Nutrient Input Described by Fourier Series

Jane Ireri, Ganesh Pokhariyal, Stephene Moindi

Asian Research Journal of Mathematics · pp. 16–27 · Published 10 Jun 2020

10.9734/arjom/2020/v16i830205

Abstract

In this paper we present a periodic Chemostat model of two species competing for a single nutrient available in limiting supply. The nutrient input is varied periodically using a Fourier series function to take into account the changing patterns as seasons vary. We show both analytically and numerically that varying the nutrient input using a Fourier Series function results in a better model to describe coexistence of species in natural environments.

Coexistence competition Competitive exclusion periodic chemostat fourier series stability.

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