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

DOI10.1134/S0001434613110229zbMath1282.92030OpenAlexW2032585880MaRDI QIDQ2439994

Alexander V. Gasnikov, E. V. Gasnikova

Publication date: 26 March 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613110229

zbMATH Keywords

Lotka-Volterra systemspredator-prey modelsequilibrium search problem

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Linear programming (90C05) Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (6)

The \(H\)-theorem for the physico-chemical kinetic equations with discrete time and for their generalizations ⋮ The \(H\)-theorem for the physico-chemical kinetic equations with explicit time discretization ⋮ Efficient numerical methods for entropy-linear programming problems ⋮ \(H\)-theorem for continuous- and discrete-time chemical kinetic systems and a system of nucleosynthesis equations ⋮ Universal method of searching for equilibria and stochastic equilibria in transportation networks ⋮ On efficient randomized algorithms for finding the PageRank vector

Cites Work

• Laplacians and the Cheeger inequality for directed graphs
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