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A birth, death and migration process by immigration

Published online by Cambridge University Press:  01 July 2016

M. Aksland
M. Aksland*
Affiliation:
University of Bergen
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Abstract

A finite number of colonies, each subject to a simple birth-death and immigration process is studied under the condition of migration between the colonies.

Kolmogorov's backward equations for the process are solved for some special cases, and a sequence of functions uniformly converging to the p.g.f. of the process is given for the general case. Further, a set of algebraic equations for the extinction probabilities are studied for the process without immigration, and a necessary and sufficient condition that the extinction probability be one is obtained.

Keywords

BIRTHDEATH AND MIGRATIONSPATIALLY DISTRIBUTED POPULATIONSINTERCONNECTED POPULATION PROCESSES
Type
Research Article
Information
Advances in Applied Probability , Volume 7 , Issue 1 , March 1975 , pp. 44 - 60
Copyright
Copyright © Applied Probability Trust 1975 

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References

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