Chemostat Model with Periodic Nutrient Input Described by Fourier Series

Citation:
Jane Ireri, Pokhariyal G, Moindi S. "Chemostat Model with Periodic Nutrient Input Described by Fourier Series." Asian Research Journal of Mathematics. 2020;16(8):16-27.

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.

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