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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 3(19), Pages 15–21 (Mi vtgu262)  
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

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

S. A. Koroleva, D. V. Maikova, I. G. Rusyakb

a Izhevsk State Technical University
b Izhevsk State Technical University
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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.
Received: 29.03.2012
Document Type: Article
UDC: 519.622.2+57.087
Language: Russian
Citation: 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, no. 3(19), 15–21
Citation in format AMSBIB
\Bibitem{KorMaiRus12}
\by S.~A.~Korolev, D.~V.~Maikov, I.~G.~Rusyak
\paper The research of stationary solutions and the optimization of parameters of the mathematical model of methanogenesis
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2012
\issue 3(19)
\pages 15--21
\mathnet{http://mi.mathnet.ru/vtgu262}
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