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The density of the extinction probability of a time homogeneous linear birth and death process under the influence of randomly occurring disasters.

Abstract：

:Under the influence of randomly occurring disasters, the eventual extinction probability, q, of a birth and death process, Z, is a random variable. In this paper, we obtain an integral expression for the probability density function g(x) of q under the assumption that the population process Z is a time homogeneous linear birth and death process and the disasters occur according to an arbitrary renewal process so that its interarrival times have a density. An example is provided to demonstrate how to evaluate the integral numerically.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Lee C

doi

10.1016/s0025-5564(99)00059-0

subject

Has Abstract

pub_date

2000-03-01 00:00:00

pages

93-102

issue

1

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(99)00059-0

journal_volume

164

pub_type

杂志文章

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