S. A. Korolev, D. V. Maikov, I. G. Rusyak, “The research of stationary solutions and the optimization of parameters of the mathematical model of methanogenesis”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, Number 3(19),Pages <nobr>15

This article is cited in 1 paper

MATHEMATICS

The research of stationary solutions and the optimization of parameters of the mathematical model of methanogenesis

S. A. Korolev^a, D. V. Maikov^a, I. G. Rusyak^b

^a Izhevsk State Technical University
^b Izhevsk State Technical University

Abstract: Stationary solutions of systems of differential equations describing the process of biogas production (methanogenesis) are found. The conditions of asymptotic stability for these solutions are presented. The optimum flow rate of the substrate for the continuous regime of the methanogenesis is found.

Keywords: methanogenesis, biogas, mathematical model, system of ordinary differential equations, stationary points, stability.

UDC: 519.622.2+57.087

Received: 29.03.2012