Abstract
In a general stochastic model of epidemics it is assumed that the initial number of patients is finite, and that with increasing size of the population the control parameter approaches a constant. Under these conditions we study the properties of the limiting distribution of the size of an epidemic.
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N. T. J. Bailey, The Mathematical Theory of Epidemic, London (1957).
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A. A. Borovkov, “The time of the first passage for a class of processes with independent increments,” Teoriya Veroyatn. i ee Primen.,10, No. 2, 360–363 (1965).
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Translated from Matematicheskie Zametki, Vol. 13, No. 5, pp. 709–716, May, 1973.
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Nagaev, A.V. Some limit theorems for a general stochastic model of epidemics. Mathematical Notes of the Academy of Sciences of the USSR 13, 424–428 (1973). https://doi.org/10.1007/BF01147472
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DOI: https://doi.org/10.1007/BF01147472