Abstract
In this paper we introduce a non-linear model for the biodegradation of organic pollutants in a water body. We assume that the pollutants are removed using fungi, that need nutrients and dissolved oxygen to thrive. We show that after an initial phase the process can be rendered entirely self-sustained, even without the constant supply of fungi, thereby becoming economically very much appealing.
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References
D.P. Barr, S.D. Aust, Pollutant degradation by white rot fungi. Rev. Environ. Contam. Toxicol. 138, 49–72 (1994)
A. Goyal, R. Sanghi, A.K. Misra, J.B. Shukla, A modeling study on the role of fungi in removing inorganic pollutants. Math. Biosci. 244, 116–124 (2013)
A. Goyal, R. Sanghi, A.K. Misra, J.B. Shukla, Modeling and analysis of the removal of an organic pollutant from a water body using fungi. Appl. Math. Model. 38, 4863–4871 (2014)
A. Heinfling, M. Bergbauer, U. Szewzyk, Biodegradation of azo and phthalocyanine dyes by Trametes versicolor and Bjerkandera adusta. Appl. Microbiol. Biotechnol. 48, 261–266 (1997)
A.K. Misra, Modeling the depletion of dissolved oxygen in a lake due to submerged macrophytes. Nonlinear Anal.: Model. Control 15(2), 185–198 (2010)
A.K. Misra, P. Chandra, J.B. Shukla, Mathematical modeling and analysis of the depletion of dissolved oxygen in water bodies. Nonlinear Anal.-Real. 7, 980–996 (2006)
A.K. Misra, P.K. Tiwari, A. Goyal, J.B. Shukla, Modeling and analysis of the depletion of organic pollutants by bacteria with explicit dependence on dissolved oxygen. Nat. Resour. Model 27(2), 258–273 (2014)
P. Rajaguru, K. Kalaiselvi, K. Palanveli, M. Subburam, Biodegradation of azo dyes in a sequential anaerobic-aerobic system. Appl. Microbiol. Biotechnol. 54, 268–273 (2000)
R. Sanghi, A. Dixit, S. Guha, Sequential batch culture studies for the decolorisation of reactive dyes by Coriolus versicolor. Bioresour. Technol. 97, 396–400 (2006)
A. Stolz, Basic and applied aspects in the microbial degradation of azo dyes. Appl. Microbiol. Biotechnol. 56, 69–80 (2001)
Acknowledgments
This work has been partially supported by the projects “Metodi numerici in teoria delle popolazioni” and “Metodi numerici nelle scienze applicate” of the Dipartimento di Matematica “Giuseppe Peano” of the Università di Torino.
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Bulai, I.M., Venturino, E. Biodegradation of organic pollutants in a water body. J Math Chem 54, 1387–1403 (2016). https://doi.org/10.1007/s10910-016-0603-1
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DOI: https://doi.org/10.1007/s10910-016-0603-1