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Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment

Author

Listed:
  • María Crespo

    (Universidad Politécnica de Madrid)

  • Alain Rapaport

    (Université Montpellier)

Abstract

We consider the chemostat model with a side compartment connected by pure diffusion, and analyze its asymptotic properties. We investigate conditions under which this spatial structure is beneficial for species survival and conversion yield, compared to single chemostat. Under these conditions, we study the optimization problem for the best structure (volume distribution and diffusion rate), which minimizes the volume required to attain a desired conversion yield. The analysis reveals that particular configurations with a single tank connected by diffusion to the input stream can be the most efficient.

Suggested Citation

  • María Crespo & Alain Rapaport, 2020. "Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment," Journal of Optimization Theory and Applications, Springer, vol. 185(2), pages 597-621, May.
    • Handle: RePEc:spr:joptap:v:185:y:2020:i:2:d:10.1007_s10957-020-01665-2
    DOI: 10.1007/s10957-020-01665-2
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    References listed on IDEAS

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    1. Wade, M.J. & Harmand, J. & Benyahia, B. & Bouchez, T. & Chaillou, S. & Cloez, B. & Godon, J.-J. & Moussa Boudjemaa, B. & Rapaport, A. & Sari, T. & Arditi, R. & Lobry, C., 2016. "Perspectives in mathematical modelling for microbial ecology," Ecological Modelling, Elsevier, vol. 321(C), pages 64-74.
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