Chemostat Model with Periodic Nutrient Input Described by Fourier Series
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Asian Research Journal of Mathematics
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.
Description
Journal Article
Keywords
Coexistence, competition, Competitive exclusion, periodic chemostat, fourier series, stability.
Citation
Ireri J., Pokhariyal G., and Moindi S. (2020): Chemostat Model with Periodic Nutrient Input Described by Fourier Series. Asian Research Journal of Mathematics