Mathematical Model Continuous Bioreactor Biodegradation Phenol and p-cresol Mixture SKIP Model Equilibrium Points Stability Analysis Global Stabilizability Numerical Simulation
Issue Date:
8-Jan-2021
Publisher:
MDPI
Citation:
Dimitrova, N.; Zlateva, P. Global Stability Analysis of a Bioreactor Model for Phenol and Cresol Mixture Degradation. Processes, 2021, 9, 124. https://doi.org/ 10.3390/pr9010124
Series/Report no.:
Processes;9, 124
Abstract:
We propose a mathematical model for phenol and p-cresol mixture degradation in a
continuously stirred bioreactor. The model is described by three nonlinear ordinary differential
equations. The novel idea in the model design is the biomass specific growth rate, known as sum
kinetics with interaction parameters (SKIP) and involving inhibition effects. We determine the
equilibrium points of the model and study their local asymptotic stability and bifurcations with
respect to a practically important parameter. Existence and uniqueness of positive solutions are
proved. Global stabilizability of the model dynamics towards equilibrium points is established. The
dynamic behavior of the solutions is demonstrated on some numerical examples.
