On the problem of evaluating quasistationary distributions for open reaction schemes

DOI10.1007/BF01023864zbMath0683.60057OpenAlexW2085720569MaRDI QIDQ1824948

Philip K. Pollett

Publication date: 1988

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01023864

zbMATH Keywords

chemical kineticsquasistationary distributionexistence of quasistationary distributionslimiting conditional distributionsstochastic modeling of autocatalytic reactions

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Special processes (60K99) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (5)

The determination of quasistationary distributions directly from the transition rates of an absorbing Markov chain ⋮ An iterative aggregation/disaggregation procedure for modelling the long-term behaviour of continuous-time evanescent random processes ⋮ Approximating quasi-stationary behaviour in network-based SIS dynamics ⋮ Stochastic fluctuations as a driving force to dissipative non-equilibrium states ⋮ Quasi-stationary distributions for discrete-state models

Cites Work

• Unnamed Item
• Denumerable Markov processes and the associated contraction semigroups on l
• On the equivalence of \(\mu\)-invariant measures for the minimal process and its q-matrix
• Quasi-stationary distributions for absorbing continuous-time denumerable Markov chains
• SOME ERGODIC PROPERTIES OF THE FELLER MINIMAL PROCESS
• The Exponential Decay of Markov Transition Probabilities
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains
• SOME LIMIT THEOREMS FOR EVANESCENT PROCESSES

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