An analytical approach to solutions of master equations for stochastic nonlinear reactions

DOI10.1007/s10910-012-9988-7zbMath1252.92061OpenAlexW1975675812MaRDI QIDQ454302

Chang Hyeong Lee, Pilwon Kim

Publication date: 1 October 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-9988-7

zbMATH Keywords

equilibrium probability

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Markov processes (60J99)

Related Items (4)

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations ⋮ Exact traveling wave solutions of the stochastic Wick-type fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation ⋮ Exact probability distributions of selected species in stochastic chemical reaction networks ⋮ Exact solution of the Wick-type stochastic fractional coupled KdV equations

Cites Work

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• A stochastic analysis of first-order reaction networks
• Eigenvalues of a symmetric tridiagonal matrix: A divide-and-conquer approach
• Explicit inverse of a generalized Vandermonde matrix.
• Matrix Analysis
• Stochastic approach to chemical kinetics

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