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Recent work by Erik Volz [arXiv:0705.2092] has shown how to calculate thegrowth and eventual decay of an SIR epidemic on a static random network,assuming infection and recovery each happen at constant rates. This calculationallows us to account for effects due to heterogeneity in degree that areneglected in the standard mass-action SIR equations. In this note we offer analternate derivation which arrives at a simpler -- though equivalent -- systemof governing equations to that of Volz. This new derivation is more closelyconnected to the underlying physical processes, and the resulting equations areof comparable complexity to the mass-action SIR equations. We further show thatearlier derivations of the final size of epidemics on networks can bereproduced using the same approach, thereby providing a common framework forcalculating both the dynamics and the final size of an epidemic spreading on arandom network.

A note on a paper by Erik Volz [arXiv:0705.2092]: SIR dynamics in random networks