Chemostat Model with Periodic Nutrient Input Described by Fourier Series
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Language: | English |
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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 |
id | ir-123456789-4484 |
institution | Daystar University |
language | English |
publishDate | 2024 |
publisher | Asian Research Journal of Mathematics |
record_format | dspace |
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 |