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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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