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Normal Hyperbolicity of Manifolds of Equilibria in Nonlinear Circuits with Mem-Devices Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Global Analysis of a Nonlinear Model for Biodegradation of Toxic Compounds in a Wastewater Treatment Process

Author : Neli Dimitrova

Published in: Progress in Industrial Mathematics at ECMI 2012

Publisher: Springer International Publishing

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Abstract

The paper presents rigorous mathematical stability analysis of a dynamic model, describing biodegradation of toxic substances in a wastewater treatment plant. Numerical simulations support the theoretical results.

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previous chapter Optimal Location of River Sampling Stations: A Case Study
next chapter Pollutant Transport and Its Alleviation in Groundwater Aquifers
Literature
1.
Borisov, M., Dimitrova, N.: Stability analysis in a model of 1,2-dichloroethane biodegradation by Klebsiella oxytoca va 8391 immobilized on granulated activated carbon. In: Todorov, M.D., Christov, C.I. (eds.) Proceedings of AMiTaNS’2011, vol. 1404, pp. 284–298. American Institute of Physics, Melville (2011)
2.
Borisov, M., Dimitrova, N., Beschkov, V.: Stability analysis of a bioreactor model for biodegradation of xenobiotics. Int. J. Comput. Math. Appl. 64(3), 361–373 (2012)CrossRefMATHMathSciNet
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Mileva, A., Beshkov, V.: On the dechlorination capacity of the strain Klebsiella oxytoca on 1,2-dichloroethane. C. R. Acad. Bulg. Sci. 59, 959–964 (2006)
4.
Mileva, A., Sapundzhiev, Ts., Beshkov, V.: Modeling 1,2-dichloroethane biodegradation by Klebsiella oxytoca va 8391 immobilized on granulated activated carbon. Bioprocess Biosyst. Eng. 31, 75–85 (2008)
5.
Sendov, Bl., Andreev, A., Kjurkchiev, N.: Numerical solution of polynomial equations. In: Ciarlet, P.G., et al. (eds.) Handbook of Numerical Analysis, vol. 3, pp. 625–778. North-Holland, Amsterdam (1999)
6.
Smith, H.L., Waltman, P.: The theory of the chemostat. Dynamics of microbial competition. Cambridge University Press, Cambridge (1995)CrossRefMATH
Metadata
Title
Global Analysis of a Nonlinear Model for Biodegradation of Toxic Compounds in a Wastewater Treatment Process
Author
Neli Dimitrova
Copyright Year
2014
Book
Progress in Industrial Mathematics at ECMI 2012

Print ISBN: 978-3-319-05364-6

Electronic ISBN: 978-3-319-05365-3

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-05365-3_7

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