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.
Shoukry, E., & Aiad, E. (1988). Simple Epidemic Process with Gamma Interinfection Time. The Egyptian Statistical Journal, 32(1), 1-31. doi: 10.21608/esju.1988.316548
MLA
E. Shoukry; E.G. Aiad. "Simple Epidemic Process with Gamma Interinfection Time", The Egyptian Statistical Journal, 32, 1, 1988, 1-31. doi: 10.21608/esju.1988.316548
HARVARD
Shoukry, E., Aiad, E. (1988). 'Simple Epidemic Process with Gamma Interinfection Time', The Egyptian Statistical Journal, 32(1), pp. 1-31. doi: 10.21608/esju.1988.316548
VANCOUVER
Shoukry, E., Aiad, E. Simple Epidemic Process with Gamma Interinfection Time. The Egyptian Statistical Journal, 1988; 32(1): 1-31. doi: 10.21608/esju.1988.316548
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