Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-24T12:20:35.664Z Has data issue: false hasContentIssue false

On variation in birth processes

Published online by Cambridge University Press:  01 July 2016

M. J. Faddy*
Affiliation:
University of Otago
*
Postal address: Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin, New Zealand.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Birth processes with piecewise linear birth rates are analysed, and numerical results suggest that, relative to the linear case, convex birth rates increase variability and concave birth rates decrease variability.

Type
Letters to the Editor
Copyright
Copyright © Applied Probability Trust 1990 

References

Abramowitz, M. and Stegun, I. A. (1972) Handbook of Mathematical Functions. Dover, New York.Google Scholar
Bailey, N. T. J. (1975) The Mathematical Theory of Infectious Diseases and its Applications. Griffin, London.Google Scholar
Ball, F. and Donnelly, P. (1987) Inter-particle correlation in death processes with application to variability in compartmental models. Adv. Appl. Prob. 19, 755766.Google Scholar
Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Methuen, London.Google Scholar
Faddy, M. J. (1977) Stochastic compartmental models as approximations to more general stochastic systems with the general stochastic epidemic as an example. Adv. Appl. Prob. 9, 448461.Google Scholar
Faddy, M. J. (1985) Nonlinear stochastic compartmental models. IMA J. Math. Appl. Med. Biol. 2, 287297.Google Scholar
Morgan, B. J. T. and Hinde, J. P. (1976) On an approximation made when analysing stochastic processes. J. Appl. Prob. 13, 672683.Google Scholar