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Matematicheskie Zametki, 2013, Volume 94, Issue 6, Pages 819–827
DOI: https://doi.org/10.4213/mzm10120 (Mi mzm10120) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On Entropy-Type Functionals Arising in Stochastic Chemical Kinetics Related to the Concentration of the Invariant Measure and Playing the Role of Lyapunov Functions in the Dynamics of Quasiaverages

A. V. Gasnikov, E. V. Gasnikova

Moscow Institute of Physics and Technology
Full-text PDF (501 kB) Citations (15)
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DOI: https://doi.org/10.4213/mzm10120
Abstract: This paper studies the relationship between the Lyapunov function of a macrosystem whose dynamics is governed by the laws of stochastic chemical kinetics and the invariant measure of this macrosystem arising at large times. A necessary and sufficient condition for the reduction of the search problem for the equilibrium of the macrosystem (the most probable macrostate of the invariant measure of this macrosystem) to an entropy-linear programming problem is given.
Keywords: entropy-type functional, stochastic chemical kinetics, Lyapunov function, dynamics of quasiaverages, equilibrium search problem, invariant measure, predator-prey model, Lotka–Volterra system.
Received: 03.08.2012
Revised: 21.02.2013
English version:
Mathematical Notes, 2013, Volume 94, Issue 6, Pages 854–861
DOI: https://doi.org/10.1134/S0001434613110229
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. V. Gasnikov, E. V. Gasnikova, “On Entropy-Type Functionals Arising in Stochastic Chemical Kinetics Related to the Concentration of the Invariant Measure and Playing the Role of Lyapunov Functions in the Dynamics of Quasiaverages”, Mat. Zametki, 94:6 (2013), 819–827; Math. Notes, 94:6 (2013), 854–861
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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