Chemostat Model with Periodic Nutrient Input Described by Fourier Series

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Main Authors: Moindi, Stephene, Ireri, Jane, Pokhariyal, Ganesh
Format: Article
Language:English
Published: Asian Research Journal of Mathematics 2024
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Online Access:https://repository.daystar.ac.ke/handle/123456789/4484
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author Moindi, Stephene
Ireri, Jane
Pokhariyal, Ganesh
author_facet Moindi, Stephene
Ireri, Jane
Pokhariyal, Ganesh
author_sort Moindi, Stephene
collection DSpace
description Journal Article
format Article
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institution Daystar University
language English
publishDate 2024
publisher Asian Research Journal of Mathematics
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spelling ir-123456789-44842024-08-06T12:51:42Z Chemostat Model with Periodic Nutrient Input Described by Fourier Series Moindi, Stephene Ireri, Jane Pokhariyal, Ganesh Coexistence competition Competitive exclusion periodic chemostat fourier series stability. Journal Article 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. 2024-05-06T12:59:52Z 2024-05-06T12:59:52Z 2020 Article Ireri J., Pokhariyal G., and Moindi S. (2020): Chemostat Model with Periodic Nutrient Input Described by Fourier Series. Asian Research Journal of Mathematics 2456-477X https://repository.daystar.ac.ke/handle/123456789/4484 en 16(8) application/pdf Asian Research Journal of Mathematics
spellingShingle Coexistence
competition
Competitive exclusion
periodic chemostat
fourier series
stability.
Moindi, Stephene
Ireri, Jane
Pokhariyal, Ganesh
Chemostat Model with Periodic Nutrient Input Described by Fourier Series
title Chemostat Model with Periodic Nutrient Input Described by Fourier Series
title_full Chemostat Model with Periodic Nutrient Input Described by Fourier Series
title_fullStr Chemostat Model with Periodic Nutrient Input Described by Fourier Series
title_full_unstemmed Chemostat Model with Periodic Nutrient Input Described by Fourier Series
title_short Chemostat Model with Periodic Nutrient Input Described by Fourier Series
title_sort chemostat model with periodic nutrient input described by fourier series
topic Coexistence
competition
Competitive exclusion
periodic chemostat
fourier series
stability.
url https://repository.daystar.ac.ke/handle/123456789/4484
work_keys_str_mv AT moindistephene chemostatmodelwithperiodicnutrientinputdescribedbyfourierseries
AT irerijane chemostatmodelwithperiodicnutrientinputdescribedbyfourierseries
AT pokhariyalganesh chemostatmodelwithperiodicnutrientinputdescribedbyfourierseries