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Research Article Open access CC BY 4.0

Delayed Nutrient Conversion for a Single Species Periodic Chemostat

Jane Ireri, Ganesh Pokhariyal, Stephene Moindi

Journal of Scientific Research and Reports · pp. 1–9 · Published 12 Jun 2020

10.9734/jsrr/2020/v26i530255

Abstract

In this paper we analyze a Chemostat model with periodic nutrient input modelled using Fourier series and incorporate delays in nutrient conversion. We show that both periodicity and delays have complementing influence in the long term behaviour of the species. Numerical results show that periodicity has bigger influence on species density variations for delays below the Hopf Bifurcation point, while for delays above the Bifurcation point,the delay effect is more influential.

DDE Periodic Chemostat Fourier series Hopf Bifurcation

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