Next Article in Journal
Prediction of Cutting Material Durability by T = f(vc) Dependence for Turning Processes
Next Article in Special Issue
Not Just Numbers: Mathematical Modelling and Its Contribution to Anaerobic Digestion Processes
Previous Article in Journal
Development of Indicator of Data Sufficiency for Feature-based Early Time Series Classification with Applications of Bearing Fault Diagnosis
Previous Article in Special Issue
Effect of Delays on the Response of Microalgae When Exposed to Dynamic Environmental Conditions
Article

Mathematical Modeling and Stability Analysis of a Two-Phase Biosystem

1
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria
2
Institute of Microbiology, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 26, 1113 Sofia, Bulgaria
*
Author to whom correspondence should be addressed.
Received: 24 April 2020 / Revised: 30 June 2020 / Accepted: 2 July 2020 / Published: 6 July 2020
(This article belongs to the Special Issue Modelling and Optimal Design of Complex Biological Systems)
We propose a new mathematical model describing a biotechnological process of simultaneous production of hydrogen and methane by anaerobic digestion. The process is carried out in two connected continuously stirred bioreactors. The proposed model is developed by adapting and reducing the well known Anaerobic Digester Model No 1 (ADM1). Mathematical analysis of the model is carried out, involving existence and uniqueness of positive and uniformly bounded solutions, computation of equilibrium points, investigation of their local stability with respect to practically important input parameters. Existence of maxima of the input–output static characteristics with respect to hydrogen and methane is established. Numerical simulations using a specially elaborated web-based software environment are presented to demonstrate the dynamic behavior of the model solutions. View Full-Text
Keywords: anaerobic digestion; two-phases process; hydrogen; methane; mathematical model; equilibrium points; stability analysis; numerical simulation anaerobic digestion; two-phases process; hydrogen; methane; mathematical model; equilibrium points; stability analysis; numerical simulation
Show Figures

Figure 1

MDPI and ACS Style

Borisov, M.; Dimitrova, N.; Simeonov, I. Mathematical Modeling and Stability Analysis of a Two-Phase Biosystem. Processes 2020, 8, 791. https://0-doi-org.brum.beds.ac.uk/10.3390/pr8070791

AMA Style

Borisov M, Dimitrova N, Simeonov I. Mathematical Modeling and Stability Analysis of a Two-Phase Biosystem. Processes. 2020; 8(7):791. https://0-doi-org.brum.beds.ac.uk/10.3390/pr8070791

Chicago/Turabian Style

Borisov, Milen, Neli Dimitrova, and Ivan Simeonov. 2020. "Mathematical Modeling and Stability Analysis of a Two-Phase Biosystem" Processes 8, no. 7: 791. https://0-doi-org.brum.beds.ac.uk/10.3390/pr8070791

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop