Simpler proofs of two threshold theorems for a general stochastic epidemic
Journal of Applied Probability1981Vol. 18(3), pp. 721–724
Citations Over TimeTop 21% of 1981 papers
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.
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