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An algebraic proof of the threshold theorem for the general stochastic epidemic

Published online by Cambridge University Press:  01 July 2016

Trevor Williams
Trevor Williams*
Affiliation:
University of Bristol
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Extract

Bailey (1957) has considered the general stochastic epidemic with relative removal rate ρ, one initial infective and n susceptibles. His Equation (5.51) may be re-cast as where the fk satisfy the recurrence relationship

Type
III. Results on the General Stochastic Epidemic
Information
Advances in Applied Probability , Volume 3 , Issue 2 , Autumn 1971 , pp. 223
Copyright
Copyright © Applied Probability Trust 1971 

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References

Bailey, N. T. J. (1957) The Mathematical Theory of Epidemics. Griffin, London.Google Scholar