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. 2016 Aug;13(121):20160288. doi: 10.1098/rsif.2016.0288

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© 2016 The Authors.

Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 2. — The factor by which estimators based on homogeneous mixing will overestimate (a) the basic reproduction number R₀ and (b) the required control effort v_c for the network case. Here, the epidemic growth rate α is measured in multiples of the mean infectious period 1/γ. The mean excess degree κ = 20. The infectious periods are assumed to follow a gamma distribution with mean 1 and standard deviation σ = 1.5, σ = 1, σ = 1/2 and σ = 0, as displayed from top to bottom. Note that the estimate of R₀ based on homogeneous mixing is 1 + α. Furthermore, note that σ = 1 corresponds to the special case of an exponentially distributed infectious period, whereas if σ = 0 the duration of the infectious period is not random. (Online version in colour.)