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An application of the Jordan canonical form to the epidemic problem
Published online by Cambridge University Press: 14 July 2016
Abstract
The stochastic version of the simple epidemic is considered in this paper. A method which has computational advantages is developed for computing the probability distribution of the process. The method is based on the Jordan canonical form of the matrix representing the system of differential-difference equations for the simple epidemic. It is also shown that the method can be applied to the general epidemic as well as any other right-shift process.
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- Copyright © Applied Probability Trust 1980
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