Threshold theorem for an epidemic model |
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Authors: | A V Nagaev A V Startsev |
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Institution: | (1) V. I. Romanovskii Mathematics Institute of the Academy of Sciences of the Uzbek SSR, Uzbekistan |
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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,v, on the assumption that n![rarr](/content/r741114w83jt7808/xxlarge8594.gif) , where n is the original number of susceptible persons, and
, where and are the coefficient of infection and the coefficient of elimination, respectively.Translated from Matematicheskie Zametki, Vol. 3, No. 2, pp. 179–185, February, 1968. |
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