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Migratory populations in branching processes

Published online by Cambridge University Press:  14 July 2016

Kenny S. Crump
Kenny S. Crump*
Affiliation:
Louisiana Technical University
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Abstract

A general age-dependent branching process is studied in which the population is distributed in N colonies. Migration from one colony to another is possible and no particular geometrical configuration is assumed for the colonies. Asymptotic expressions for the first two moments are given in several different cases.

Type
Research Papers
Information
Journal of Applied Probability , Volume 7 , Issue 3 , December 1970 , pp. 565 - 572
Copyright
Copyright © Applied Probability Trust 1970 

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References

Bailey, N. T. J. (1968) Stochastic birth, death and migration processes for spatially distributed populations. Biometrika 55, 189–198.CrossRefGoogle Scholar
Crump, K. S. and Mode, C. J. (1968) A general age-dependent branching process I. J. Math. Anal. Appl. 24, 494–508.Google Scholar
Crump, K. S. (1970a) On systems of renewal equations. J. Math. Anal. Appl. 30, 425–434.Google Scholar
Crump, K. S. (1970b) On systems of renewal equations: The reducible case. J. Math. Anal. Appl. 30.Google Scholar
Karlin, S. (1966) A First Course in Stochastic Processes. Academic Press, New York.Google Scholar