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A bounded growth population subjected to emigrations due to population pressure

Published online by Cambridge University Press:  14 July 2016

A. C. Trajstman
A. C. Trajstman*
Affiliation:
CSIRO Division of Mathematics and Statistics, Melbourne
*
∗Postal address: CSIRO Division of Mathematics and Statistics, P.O. Box 310, South Melbourne, Victoria 3205, Australia.
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Abstract

A model is presented for a bounded growth population subjected to random-sized emigrations that occur due to population pressure.

The deterministic growth component examined in detail is defined by a Prendiville process. Results are obtained for the times between emigration events and for the population increase between emigrations. Some information is obtained about the mean time to extinction and also for the mean population level when the emigration-size distribution is negative exponential.

Keywords

BOUNDED POPULATIONEMIGRATION DUE TO POPULATION PRESSUREEXTINCTION TIMEPOPULATION LEVEL
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 3 , September 1981 , pp. 571 - 582
Copyright
Copyright © Applied Probability Trust 

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References

Abramowitz, M. and Stegun, I. A. (1965) Handbook of Mathematical Functions. Dover, New York.Google Scholar
Bartoszynski, R. (1975) On the risk of rabies. Math. Biosci. 24, 355–377.CrossRefGoogle Scholar
Hanson, F. B. and Tuckwell, H. C. (1978) Persistence times of populations with large random fluctuations. Theoret. Popn Biol. 14, 46–61.CrossRefGoogle ScholarPubMed
Pakes, A.G., Trajstman, A. C. and Brockwell, P. J. (1979) A stochastic model for a replicating population subjected to mass emigration due to population pressure. Math. Biosci. 45, 137–157.Google Scholar
Trajstman, A.C. (1980) CSIRO Division of Mathematics and Statistics, Technical Report No. VT 80/3.Google Scholar
Tuominen, P. and Tweedie, R. L. (1979) Exponential ergodicity in Markovian queueing and dam models. J. Appl. Prob. 16, 867–880.Google Scholar