Stochastic epidemic dynamics on extremely heterogeneous networks.
Stochastic epidemic dynamics on extremely heterogeneous networks.
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DOI：
10.1103/physreve.94.062408
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发表时间：
2016-12
期刊：
影响因子：
--
通讯作者：
McKane AJ
中科院分区：
文献类型：
--
作者：
Parra-Rojas C;House T;McKane AJ
Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many contacts. We derive a two-dimensional diffusion model for the full temporal behavior of the stochastic susceptible-infectious-recovered (SIR) model on such a network, by making use of a time-scale separation in the deterministic limit of the dynamics. This low-dimensional process is an accurate approximation to the full model in the limit of large populations, even for cases when the time-scale separation is not too pronounced, provided the maximum degree is not of the order of the population size.
