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A model for blue-green algae and gorillas

Published online by Cambridge University Press:  14 July 2016

Byron J. T. Morgan  and
B. Leventhal
Byron J. T. Morgan
Affiliation:
University of Kent, Canterbury
B. Leventhal*
Affiliation:
Audits of Great Britain Ltd.
*
*Postal address: Audit House, Field End Road, Eastcote, Ruislip, Middlesex HA4 9LT.
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Abstract

The linear birth-and-death process is elaborated to allow the elements of the process to live as members of linear clusters which have the possibility of breaking up. For the supercritical case, expressions, based on an approximation, are derived for the mean numbers of clusters of the various sizes as time → ∞. These expressions compare very well with exact solutions obtained by the method of Runge-Kutta. Exact solutions for the mean values for all time are given for when the death rate is zero.

Keywords

ALGAEAPPROXIMATIONBIRTH-AND-DEATH PROCESSGORILLASLINEAR CLUSTERSRUNGE-KUTTA
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 4 , December 1977 , pp. 675 - 688
Copyright
Copyright © Applied Probability Trust 1977 

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