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A study of the role of the transmission mechanism in macroparasite aggregation

Part of: Markov processes Applications

Published online by Cambridge University Press:  14 July 2016

Julian Herbert  and
Valerie Isham
Julian Herbert*
Affiliation:
University College, London
Valerie Isham*
Affiliation:
University College, London
*
1Postal address: Department of Statistical Science, University College, London, UK. Email: valerie@stats.ucl.ac.uk
1Postal address: Department of Statistical Science, University College, London, UK. Email: valerie@stats.ucl.ac.uk
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Abstract

The dynamics of host-macroparasite infections pose considerable challenges for stochastic modelling because of the need to take into account a large number of relevant factors and many nonlinear interactions between them. This paper focuses attention on the infection transmission process and the effects of specific modelling assumptions about the mechanisms involved. Some dramatically simplified linear models are considered; they are based on multidimensional linear birth and death processes, and are designed to illuminate qualitative effects of interest. Both single and compound infections are allowed. It is shown that such simple models can generate and increase dispersion of parasite counts, even among homogeneous hosts.

Keywords

Aggregationbirth-death processescompound infectionsepidemic modelsmacroparasitesmultidimensional branching processesoverdispersiontransmission dynamics

MSC classification

Primary: 62P10: Applications to biology and medical sciences
Secondary: 60J85: Applications of branching processes 92D30: Epidemiology
Type
Other stochastic models
Information
Journal of Applied Probability , Volume 38 , Issue A: Probability, Statistics and Seismology , 2001 , pp. 249 - 262
Copyright
Copyright © Applied Probability Trust 2001 

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