Abstract
Models for epidemic spreading are a paradigmatic example of the nontrivial effect of a topologically complex substrate on simple dynamics. The Susceptible-Infected-Susceptible (SIS) model has been recently the subject of considerable activity, which has uncovered that subtle effects of the quenched network structure and of dynamical correlations play a relevant role in the model behavior. Starting from the simplest mean-field theory we review the theoretical approaches which have been applied to SIS dynamics on networks, including the very recent results taking into account long-range dynamical correlations. The findings illustrate the highly nontrivial interplay between complex topology and dynamics and the need to include additional ingredients beyond the usual mean-field assumptions.
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Castellano, C. (2014). Theoretical Approaches to the Susceptible-Infected-Susceptible Dynamics on Complex Networks: Mean-Field Theories and Beyond. In: Matrasulov, D., Stanley, H. (eds) Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8704-8_10
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DOI: https://doi.org/10.1007/978-94-017-8704-8_10
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