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Mathematical Problems in Engineering
Volume 2015, Article ID 512404, 10 pages
Research Article

Dynamical Analysis of a Continuous Stirred-Tank Reactor with the Formation of Biofilms for Wastewater Treatment

1Departamento de Matemáticas y Estadística, Universidad Nacional de Colombia, Sede Manizales, Manizales, Colombia
2Departamento de Matemáticas y Estadística, Universidad del Tolima, Ibagué, Colombia

Received 2 February 2015; Revised 7 April 2015; Accepted 7 April 2015

Academic Editor: Seungik Baek

Copyright © 2015 Karen López Buriticá et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper analyzes the dynamics of a system that models the formation of biofilms in a continuous stirred-tank reactor (CSTR) when it is utilized for wastewater treatment. The growth rate of the microorganisms is modeled using two different kinetics, Monod and Haldane kinetics, with the goal of studying the influence of each in the system. The equilibrium points are identified through a stability analysis, and the bifurcations found are characterized.