Periodic and non periodic (complex) behavior of a model of bioreactor with cell recycling

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

doi:10.3844/jmssp.2007.1.11

Periodic and non periodic (complex) behavior of a model of bioreactor with cell recycling

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Mathematics and Statistics
Volume	3
Issue number	1
DOIs	https://doi.org/10.3844/jmssp.2007.1.11
State	Published - 2007
Externally published	Yes

Keywords

Activated sludge process
Bifurcation
Periodic
Structured models

ASJC Scopus subject areas

Statistics and Probability
General Mathematics

UN SDGs

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

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10.3844/jmssp.2007.1.11

Cite this

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title = "Periodic and non periodic (complex) behavior of a model of bioreactor with cell recycling",

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.",

keywords = "Activated sludge process, Bifurcation, Periodic, Structured models",

author = "G. Ibrahim and Ramadan, \{M. A.\} and El-Marouf, \{S. A.A.\} and Al-Mahdi, \{A. M.\}",

year = "2007",

doi = "10.3844/jmssp.2007.1.11",

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T1 - Periodic and non periodic (complex) behavior of a model of bioreactor with cell recycling

AU - Ibrahim, G.

AU - Ramadan, M. A.

AU - El-Marouf, S. A.A.

AU - Al-Mahdi, A. M.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - Activated sludge process

KW - Bifurcation

KW - Periodic

KW - Structured models

UR - https://www.scopus.com/pages/publications/34548183279

U2 - 10.3844/jmssp.2007.1.11

DO - 10.3844/jmssp.2007.1.11

M3 - Article

AN - SCOPUS:34548183279

SN - 1549-3644

VL - 3

SP - 1

EP - 11

JO - Journal of Mathematics and Statistics

JF - Journal of Mathematics and Statistics

IS - 1

ER -

Periodic and non periodic (complex) behavior of a model of bioreactor with cell recycling

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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