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Global analysis of a model of bioreactor with cell recycling using general form of rate functions

  • S. A.A. El-Marouf*
  • , A. M. Al-Mahdi
  • , G. M. Bahaa
  • *Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

1 Scopus citations

Abstract

A dynamical model of an activated sludge process is considered. A mathematical analysis of the model equations with general rate functions is given. The dissipativity, boundedness, invariance of non-negativity, persistence, stability, bifurcation and periodicity of solutions are discussed. It was also shown that the rate functions have no influence for stability in the special case disinfected feed.

Original languageEnglish
Pages (from-to)381-398
Number of pages18
JournalJournal of Taibah University for Science
Volume9
Issue number3
DOIs
StatePublished - 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014 Taibah University.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 6 - Clean Water and Sanitation
    SDG 6 Clean Water and Sanitation

Keywords

  • 34 C 23
  • 34 C 60
  • 34 D 23
  • Activated sludge process
  • Bifurcations
  • Boundedness
  • Nonlinear systems
  • Stability

ASJC Scopus subject areas

  • General Chemistry
  • General Mathematics
  • General Biochemistry, Genetics and Molecular Biology
  • General Environmental Science
  • General Agricultural and Biological Sciences
  • General Physics and Astronomy
  • General Earth and Planetary Sciences

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