SIR dynamics in structured populations with heterogeneous connectivity

Details SIR dynamics in structured populations with heterogeneous connectivity SIR dynamics in structured populations with heterogeneous connectivity

2005-08-22

arxiv.org/abs/physics/0508160v3

Physics

Physics and Society

16 pages, 4 figures, added 2 references, improved readability; added 1 reference, 1 paragraph, miscellaneous editing, correcte

Scientific paper

Most epidemic models assume equal mixing among members of a population. An alternative approach is to model a population as random network in which individuals may have heterogeneous connectivity. This paper builds on previous research by describing the exact dynamical behavior of epidemics as they occur in random networks. A system of nonlinear differential equations is presented which describes the behavior of epidemics spreading through random networks with arbitrary degree distributions. The degree distribution is observed to have significant impact on both the final size and time scale of epidemics.

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