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Chemostat Model with Periodic Nutrient Input Described by Fourier Series

  • Jane Ireri
  • Ganesh Pokhariyal
  • Stephene Moindi

Asian Research Journal of Mathematics, Page 16-27
DOI: 10.9734/arjom/2020/v16i830205
Published: 10 June 2020

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Abstract


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.


Keywords:
  • Coexistence
  • competition
  • Competitive exclusion
  • periodic chemostat
  • fourier series
  • stability.
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  • Review History

How to Cite

Ireri, J., Pokhariyal, G., & Moindi, S. (2020). Chemostat Model with Periodic Nutrient Input Described by Fourier Series. Asian Research Journal of Mathematics, 16(8), 16-27. https://doi.org/10.9734/arjom/2020/v16i830205
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References

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Dian Li Zhao, Sanling Yuan. Break-Even concentration and periodic behaviour of Stochastic Chemostat model with Seasonal uctuation. Science Direct; 2017.

Wu-Jun Pu, Danhua Jiang, Ya Wang, Zhanbing Bai. Spatial Dynamics of Non-local delayed unstirred Chemostat with periodic input. International Journal of Bio Mathematics; 2019.

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