Note on Zeifman's bounds on the rate of convergence for birth-death processes

DOI10.1239/jap/1082999090zbMath1078.60073OpenAlexW2101932076MaRDI QIDQ4819483

Alexander Mitrophanov

Publication date: 24 September 2004

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1082999090

zbMATH Keywords

chemical kineticsstochastic model

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)

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On convergence rate estimates for some birth and death processes ⋮ Neville elimination: An efficient algorithm with application to chemistry

Cites Work

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• Nonstationary Markovian queues
• Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes
• The decay function of nonhomogeneous birth-death processes, with application to mean-field models
• Some estimates of the rate of convergence for birth and death processes
• Diffusion approximations for some simple chemical reaction schemes
• Stability and exponential convergence of continuous-time Markov chains