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The transition probabilities of the general stochastic epidemic model

Published online by Cambridge University Press:  14 July 2016

Richard J. Kryscio
Richard J. Kryscio*
Affiliation:
Northern Illinois University
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Abstract

Recently, Billard (1973) derived a solution to the forward equations of the general stochastic model. This solution contains some recursively defined constants. In this paper we solve these forward equations along each of the paths the process can follow to absorption. A convenient method of combining the solutions for the different paths results in a simplified non-recursive expression for the transition probabilities of the process.

Keywords

GENERAL STOCHASTIC EPIDEMICTRANSITION PROBABILITIESPATHS OF THE EPIDEMIC

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 12 , Issue 3 , September 1975, pp. 415 - 424
Copyright
Copyright © Applied Probability Trust 1975 

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