Ireri Jane , Pokhariyal Ganesh and Moindi Stephene2024-05-062024-05-062020Ireri J., Pokhariyal G., and Moindi S. (2020): Chemostat Model with Periodic Nutrient Input Described by Fourier Series. Asian Research Journal of Mathematics2456-477Xhttps://repository.daystar.ac.ke/handle/123456789/4484Journal ArticleIn 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.enCoexistencecompetitionCompetitive exclusionperiodic chemostatfourier seriesstability.Article