Chemostat Model with Periodic Nutrient Input Described by Fourier Series
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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 | Ireri Jane , Pokhariyal Ganesh and Moindi Stephene |
| author_facet | Ireri Jane , Pokhariyal Ganesh and Moindi Stephene |
| author_sort | Ireri Jane , Pokhariyal Ganesh and Moindi Stephene |
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| description | Journal Article |
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| id | oai:repository.daystar.ac.ke:123456789-4484 |
| institution | Daystar University |
| language | English |
| publishDate | 2024 |
| publisher | Asian Research Journal of Mathematics |
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| spelling | oai:repository.daystar.ac.ke:123456789-44842024-05-06T13:00:34Z Chemostat Model with Periodic Nutrient Input Described by Fourier Series Ireri Jane , Pokhariyal Ganesh and Moindi Stephene 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. Ireri Jane , Pokhariyal Ganesh and Moindi Stephene 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 irerijanepokhariyalganeshandmoindistephene chemostatmodelwithperiodicnutrientinputdescribedbyfourierseries |
Fourier series 
Fourier series and boundary value problems /