Markovian paths to extinction

DOI10.1239/aap/1183667624zbMath1134.60052OpenAlexW2132172256WikidataQ57712777 ScholiaQ57712777MaRDI QIDQ3590752

Serik Sagitov, Peter Jagers, Fima C. Klebaner

Publication date: 3 September 2007

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

Full work available at URL: https://projecteuclid.org/euclid.aap/1183667624

zbMATH Keywords

Markov processextinctionbranching processextreme value

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (11)

Large deviations of cancer recurrence timing ⋮ Dynamics of cancer recurrence ⋮ Virus replication as a phenotypic version of polynucleotide evolution ⋮ Stochastic modeling and simulation of viral evolution ⋮ Escape times for branching processes with random mutational fitness effects ⋮ Mutational meltdown in asexual populations doomed to extinction ⋮ Growth of Integral Transforms and Extinction in Critical Galton-Watson Processes ⋮ Coalescence Times for the Bienaymé-Galton-Watson Process ⋮ Markovian paths to extinction ⋮ A note on the path to extinction of critical Markov branching processes ⋮ Extinction Times in Multitype Markov Branching Processes

Cites Work

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• Asexual versus promiscuous bisexual Galton-Watson processes: The extinction probability ratio
• The Martin entrance boundary of the Galton-Watson process
• Markovian paths to extinction
• Asymptotic results for the extinction time of Markov branching processes allowing emigration, I. Random walk decrements
• On the asymptotic behaviour of the extinction time of the simple branching process
• Transformations of Galton-Watson processes and linear fractional reproduction
• Tightness and weak convergence for jump processes

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