Contact tracing and epidemics control in social networks

摘要

A generalization of the standard susceptible-infectious-removed (SIR)stochastic model for epidemics in sparse random networks is introduced whichincorporates contact tracing in addition to random screening. We propose adeterministic mean-field description which yields quantitative agreement withstochastic simulations on random graphs. We also analyze the role of contacttracing in epidemics control in small-world networks and show that itseffectiveness grows as the rewiring probability is reduced.