Computation of extinction probabilities for the Bellman-Harris branching process
type: Item
instance of: scholarly article
title: Computation of extinction probabilities for the Bellman-Harris branching process
zbMATH Open document ID: 0575.60085
DOI: 10.1016/0025-5564(85)90095-1
author: Marc E. Jacobson
published in: Mathematical Biosciences
publication date: 1985-01-01T00:00:00Z
review text: Outlined in the beginning of this paper is the Bellman-Harris age- dependent branching process. Recursive equations to compute the probability of extinction at a given epoch are then developed. Using these equations, computer runs were made for two reproduction rules, binary and Poisson, and three reproduction means, 0.5, 1.0, and 1.5. The results of these runs are then presented, with emphasis on their rate of convergence to the probability of eventual extinction.
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 3919506
zbMATH Keywords: Bellman-Harris age-dependent branching process
zbMATH Keywords: probability of extinction
zbMATH Keywords: rate of convergence
MaRDI profile type: Publication
full work available at URL: 0025-5564(85)90095-1
OpenAlex ID: W1967435815
cites work: On the Theory of Age-Dependent Stochastic Branching Processes
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cites work: A general-age-dependent branching process. II
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description: scientific article; zbMATH DE number 3919506