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On the solution of compartmental processes and their use in modelling stages of infection of a disease with reference to onchocerciasis

Published online by Cambridge University Press:  14 July 2016

F. W. O. Saporu
F. W. O. Saporu*
Affiliation:
University of Maiduguri
*
∗Postal address: Department of Mathematics and Statistics, University of Maiduguri, Maiduguri, Borno State, Nigeria.
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Abstract

The solution of a hierarchical n-compartmental homogeneous process with multiple-valued migration rates is obtained using Laplace transform techniques. Such models are suggested for modelling the infection process of endemic diseases because of their property of gamma-distributed compartmental residence times in each of n compartments. Its relevance to the onchocerciasis infection process (with and without the imposition of controls) is discussed and application to age-prevalence data (having only two infective states into which an individual can be classified) is undertaken.

Keywords

AGE-PREVALENCE DATALAPLACE TRANSFORMRESIDENCE TIMESKOLMOGOROV FORWARD EQUATIONSPIECEWISE HOMOGENEOUS
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 293 - 303
Copyright
Copyright © Applied Probability Trust 1987 

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