Mathematical Modelling of Anaerobic Digestion with Hydrogen and Methane Production*

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 reducing the well known Anaerobic Digester Model No 1 (ADM1). The mathematical analysis of the model involves 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. Numerical simulations using a specially elaborated web-based software environment are presented to demonstrate the dynamic behavior of the model solutions.