Simpler proofs of two threshold theorems for a general stochastic epidemic
- 1 September 1981
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 18 (3) , 721-724
- https://doi.org/10.2307/3213326
Abstract
We give here fairly elementary proofs for the threshold theorems due to Williams (1971) and Whittle (1955). Our proofs are based on an application of the reflection principle through the ballot problem and the exact distribution of the size of the epidemic as derived by Foster (1955). Williams's threshold theorem is extended to an epidemic with multiple introduction of cases.Keywords
This publication has 1 reference indexed in Scilit:
- An algebraic proof of the threshold theorem for the general stochastic epidemicAdvances in Applied Probability, 1971