Existence of a unique quasi-stationary distribution in stochastic reaction networks
From MaRDI portal
Publication:2184608
DOI10.1214/20-EJP445zbMath1451.60086arXiv1808.06833MaRDI QIDQ2184608
Mads Christian Hansen, Wiuf Carsten
Publication date: 29 May 2020
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.06833
Classical flows, reactions, etc. in chemistry (92E20) Chemical kinetics in thermodynamics and heat transfer (80A30) Applications of continuous-time Markov processes on discrete state spaces (60J28)
Related Items (4)
Structural classification of continuous time Markov chains with applications ⋮ An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks ⋮ Stationary distributions via decomposition of stochastic reaction networks ⋮ Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extinction and quasi-stationarity in the stochastic logistic SIS model.
- Computation with finite stochastic chemical reaction networks
- Continuous-time Markov chains. An applications-oriented approach
- Applied algebra, algebraic algorithms and error-correcting codes. 10th international symposium, AAECC-10, San Juan de Puerto Rico, Puerto Rico, May 10-14, 1993. Proceedings
- Conditions for extinction events in chemical reaction networks with discrete state spaces
- Quasi-stationary distributions and population processes
- On time scales and quasi-stationary distributions for multitype birth-and-death processes
- Quasi-stationary distributions for discrete-state models
- A quasistationary analysis of a stochastic chemical reaction: Keizer's paradox
- Reaction networks and evolutionary game theory
- Minimal quasi-stationary distribution approximation for a birth and death process
- Exponential convergence to quasi-stationary distribution and \(Q\)-process
- Quasi-Stationary Distributions
- Simulation of quasi-stationary distributions on countable spaces
- Exponential convergence to quasi-stationary distribution for absorbed one-dimensional diffusions with killing
- Nonlinear stochastic dynamics of mesoscopic homogeneous biochemical reaction systems—an analytical theory
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- CHEMICAL ORGANIZATIONS IN A TOY MODEL OF THE POLITICAL SYSTEM
- Markov Chains and Stochastic Stability
- Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces
- Stochastic Analysis of Biochemical Systems
- WKB theory of large deviations in stochastic populations
- Solutions of ordinary differential equations as limits of pure jump markov processes
This page was built for publication: Existence of a unique quasi-stationary distribution in stochastic reaction networks
