53 citations · 167 across the 9 of their papers we have counts for
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q-bio.PE2016★ 53 cited
The relationships between message passing, pairwise, Kermack-McKendrick and stochastic SIR epidemic models
Robert R. Wilkinson, Frank G. Ball, Kieran J. Sharkey
We consider a very general stochastic model for an SIR epidemic on a network which allows an individual's infectious period, and the time it takes to contact each of its neighbours…
q-bio.PE2016
The deterministic Kermack-McKendrick model bounds the general stochastic epidemic
Robert R. Wilkinson, Frank G. Ball, Kieran J. Sharkey
We prove that, for Poisson transmission and recovery processes, the classic Susceptible Infected Recovered (SIR) epidemic model of Kermack and McKendrick provides, for…