Quasi-stationary distributions for birth-death processes with killing

DOI10.1155/JAMSA/2006/84640zbMath1147.60323MaRDI QIDQ937480

Erik A. van Doorn, Pauline Coolen-Schrijner

Publication date: 15 August 2008

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54626

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Criteria for Feller transition functions ⋮ Uniqueness and Decay Properties of Markov Branching Processes with Disasters ⋮ Conditions for the existence of quasi-stationary distributions for birth-death processes with killing ⋮ Unnamed Item ⋮ Restriction-modification systems and bacteriophage invasion: who wins? ⋮ Quasi-stationary distributions for discrete-state models

Cites Work

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• Continuous-time Markov chains. An applications-oriented approach
• Birth-death processes with killing
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• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Quasistationary distributions for one-dimensional diffusions with killing
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• A NOTE ON EVANESCENT PROCESSES
• On the relationship between µ-invariant measures and quasi-stationary distributions for continuous-time Markov chains
• Extinction Probability in A Birth-Death Process with Killing
• Uniqueness criteria for continuous-time Markov chains with general transition structures
• SOME LIMIT THEOREMS FOR EVANESCENT PROCESSES

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