Simple Epidemic Process with Gamma Interinfection Time | ||||
The Egyptian Statistical Journal | ||||
Article 1, Volume 32, Issue 1, June 1988, Page 1-31 | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.1988.316548 | ||||
View on SCiNiTO | ||||
Authors | ||||
E. Shoukry; E.G. Aiad | ||||
Abstract | ||||
This paper deals with the derivation of the distribution of the number of infectives in a simple epidemic for a small population size N. This derivation is in kind of a convolution of gamma (r,λi) interinfection times, in both cases of repeated and unrepeated infection rates λi. The duration time distribution of a simple epidemic is also obtained. It was found that the results are a generalization of those of Billard and al (1979) who assumed exponential interinfection time with infection rate λi = i (N-i) Numerical examples are presented. | ||||
Keywords | ||||
Gamma Interinfection Time; Infection Rate; Number of Infectives; Population Size; Simple Epidemic Process | ||||
Statistics Article View: 19 |
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