Abstract
Section 4.5 showed that the homogeneous mean-field approximations cannot capture the system behaviour for networks with heterogeneous degree distributions. The heterogeneity in degree can significantly affect disease dynamics [254]. This requires more sophisticated models. In this chapter, we formulate mean-field models in terms of population-level counts of the number of nodes with a given degree and status.
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Kiss, I.Z., Miller, J.C., Simon, P.L. (2017). Mean-field approximations for heterogeneous networks. In: Mathematics of Epidemics on Networks. Interdisciplinary Applied Mathematics, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-50806-1_5
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