Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes

The transient probabilities for a simple birth-death-immigration process are considered. Catastrophes occur at a constant rate, and when they occur, reduce the population to size zero.

Bibliographic Details
Main Author: Randall J. Swift
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201005762
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spelling doaj-4fac83d5b20a46b0a6f2265c1d2f1bb52020-11-24T20:54:17ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251068969210.1155/S0161171201005762Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophesRandall J. Swift0Department of Mathematics, Western Kentucky University, Bowling Green 42101, KY, USAThe transient probabilities for a simple birth-death-immigration process are considered. Catastrophes occur at a constant rate, and when they occur, reduce the population to size zero.http://dx.doi.org/10.1155/S0161171201005762
collection DOAJ
language English
format Article
sources DOAJ
author Randall J. Swift
spellingShingle Randall J. Swift
Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
International Journal of Mathematics and Mathematical Sciences
author_facet Randall J. Swift
author_sort Randall J. Swift
title Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
title_short Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
title_full Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
title_fullStr Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
title_full_unstemmed Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
title_sort transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2001-01-01
description The transient probabilities for a simple birth-death-immigration process are considered. Catastrophes occur at a constant rate, and when they occur, reduce the population to size zero.
url http://dx.doi.org/10.1155/S0161171201005762
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