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Certain state-dependent processes for dichotomised parasite populations

Published online by Cambridge University Press:  14 July 2016

A. W. Kemp  and
J. Newton
A. W. Kemp
Affiliation:
University of St Andrews
J. Newton*
Affiliation:
University of St Andrews
*
∗Postal address for both authors: Department of Mathematical Sciences, North Haugh, University of St Andrews, St Andrews KY16 9SS, Scotland.
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Abstract

The paper re-examines Quinn and MacGillivray's (1986) stationary birth-death process for a population of fixed size N consisting of two types of parasite, active and passive, and sets up a more elaborate model for the dichotomy between parasites on hosts with and without open wounds resulting from previous parasite attacks. The probability generating functions for the stationary count distributions are obtained, allowing limiting forms of the distributions to be investigated.

Keywords

BIRTH-DEATH PROCESSCONFLUENT HYPERGEOMETRIC DISTRIBUTIONQ-BINOMIAL ANALOGUEQ-POISSON ANALOGUESTRONGLY UNIMODAL DISTRIBUTIONSLIMITING NORMALITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 2 , June 1990 , pp. 251 - 258
Copyright
Copyright © Applied Probability Trust 1990 

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