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The transition probabilities of the extended simple stochastic epidemic model and the Haskey model

Published online by Cambridge University Press:  14 July 2016

Richard J. Kryscio
Richard J. Kryscio*
Affiliation:
State University of New York, Buffalo
*
* Present address: National Cancer Institute, Bethesda, Maryland.
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Abstract

We present a solution to a special system of Kolmogorov forward equations. We use this result to present a useful expression for the transition probabilities of the extended simple stochastic epidemic model and an epidemic model involving cross-infection between two otherwise isolated groups.

Keywords

SIMPLE STOCHASTICEPIDEMIC MODELHASKEY MODELTRANSITION FUNCTIONS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 3 , June 1972 , pp. 471 - 485
Copyright
Copyright © Applied Probability Trust 1972 

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Footnotes

This paper is part of the author's doctoral dissertation which was completed at the State University of New York, Buffalo, under the supervision of Professor Norman C. Severo. The research was partially supported by NIH Fellowship 1 FO1 GM43719.

References

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