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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Periodic and Non Periodic (Complex) Behavior of a Model of Bioreactor With Cell Recycling

G. Ibrahim, M. A. Ramadan, S. A.A. El-Marouf and A. M. Al-Mahdi

Abstract

A structured model of bioreactor for an activated sludge process was presented. The stability and bifurcation characteristics of the model are investigated, the bifurcation analysis of the model shows static and complex dynamic behavior (periodic and complex) over a wide range of the model parameters. The model exhibits a new interesting behavior (in some range of parameters) including four static limit points (turning points) and two Hopf points, that cause different kinds and rich of stability characteristics ranging from asymptotically stable and hysteresis to periodic and complex behavior.

Journal of Mathematics and Statistics
Volume 3 No. 1, 2007, 1-11

DOI: https://doi.org/10.3844/jmssp.2007.1.11

Submitted On: 29 November 2006 Published On: 31 March 2007

How to Cite: Ibrahim, G., Ramadan, M. A., El-Marouf, S. A. & Al-Mahdi, A. M. (2007). Periodic and Non Periodic (Complex) Behavior of a Model of Bioreactor With Cell Recycling. Journal of Mathematics and Statistics, 3(1), 1-11. https://doi.org/10.3844/jmssp.2007.1.11

Open AccessCopyright: © 2007 G. Ibrahim, M. A. Ramadan, S. A.A. El-Marouf and A. M. Al-Mahdi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Activated sludge process
  • Structured models
  • Bifurcation
  • periodic