On the simple stochastic epidemic

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13 Citations (Scopus)

Abstract

For the simple stochastic epidemic, in which X(t) is the number of infectives at time t and N is the population size, it is shown that the process N½{X(t)/N - m(t)), for suitable m(t), approaches an Ornstein- Uhlenbeck process as N ↑∞. Certain drawbacks in this model for large populations suggest an alternative model, in which the infection rate is the square root of the product of infectives and susceptibles. The asymptotic theory of this model is also investigated.

Original languageEnglish
Pages (from-to)494-497
Number of pages4
JournalBiometrika
Volume59
Issue number2
DOIs
Publication statusPublished - Aug 1972
Externally publishedYes

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