Open AccessChemostat Model with Periodic Nutrient Input Described by Fourier Series
Author(s) -
Jane Ireri,
Ganesh P. Pokhariyal,
Stephene Moindi
Publication year - 2020
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2020/v16i830205
Subject(s) - chemostat , fourier series , series (stratigraphy) , nutrient , fourier transform , function (biology) , limiting , mathematics , biological system , fourier analysis , mathematical analysis , ecology , biology , engineering , evolutionary biology , mechanical engineering , paleontology , genetics , bacteria
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.