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Matematicheskie Zametki, 1968, Volume 3, Issue 2, Pages 179–185
(Mi mzm6665)
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This article is cited in 2 scientific papers (total in 2 papers)
Threshold theorem for an epidemic model
A. V. Nagaev, A. V. Startsev Romanovskii Mathematical Institute, Academy of Sciences of Uzbek SSR
Abstract:
The article discusses a probability model of the spread of an epidemic in which the elimination of sick persons (through death, immunity, or isolation) is taken into account. The authors find a limit distribution for the magnitude of the epidemic, $\nu$, on the assumption that $n\to\infty$, where n is the original number of susceptible persons, and $\frac{\mu}{\lambda n}\to 1$, where $\lambda$ and $\mu$ are the coefficient of infection and the coefficient of elimination, respectively.
Received: 15.07.1967
Citation:
A. V. Nagaev, A. V. Startsev, “Threshold theorem for an epidemic model”, Mat. Zametki, 3:2 (1968), 179–185; Math. Notes, 3:2 (1968), 115–119
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https://www.mathnet.ru/eng/mzm6665 https://www.mathnet.ru/eng/mzm/v3/i2/p179
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Abstract page: | 490 | Full-text PDF : | 192 | First page: | 1 |
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