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Stochastic epidemic dynamics on extremely heterogeneous networks
- Source :
- Phys. Rev. E 94, 062408 (2016)
- Publication Year :
- 2016
-
Abstract
- 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.<br />Comment: 22 pages, 8 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 94, 062408 (2016)
- Publication Type :
- Report
- Accession number :
- edsarx.1609.08450
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.94.062408