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Generalizations of the simple epidemic process

Published online by Cambridge University Press:  14 July 2016

L. Billard ,
H. Lacayo  and
N. A. Langberg
L. Billard*
Affiliation:
The Florida State University
H. Lacayo
Affiliation:
The Florida State University
N. A. Langberg
Affiliation:
The Florida State University
*
∗Postal address: Department of Statistics and Statistical Consulting Center, The Florida State University, Tallahassee, FL 32306, U.S.A.
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Abstract

Recently, Billard, Lacayo and Langberg (1979) considered the classical simple epidemic process from the viewpoint of interinfection times. However, this concept can be expanded to include arbitrary generalized simple epidemic processes as well as non-exponential interinfection times. This work finds the distribution of the number of infectives for these generalizations as well as the mean and variance.

Keywords

GENERALIZED INFECTION RATESGAMMA INTERINFECTION TIMESCHI-SQUARE INTERINFECTION TIMESMEAN AND VARIANCE OF NUMBER OF INFECTIVES
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 1072 - 1078
Copyright
Copyright © Applied Probability Trust 

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Footnotes

Research supported by National Science Foundation Grant No. MCS76–10453 and National Institutes of Health Grant Number 1 R01 GM 26851–01.

∗∗

Research supported by Air Force Office of Scientific Research Grant Number AFOSR 74–2581D.

References

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