2002/04/10 by Ramón Huerta, Ramon Huerta, Lev S. Tsimring
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #COVID-19 epidemiological studies #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #nlin.AO #q-bio.PE
paper · pdf · doi:10.1103/physreve.66.056115
4 pages, 4 figures, submitted to PRL
arxiv created 2002/04/10 · openalex publication_date 2002/11/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A generalization of the standard susceptible-infectious-removed stochastic model for epidemics in sparse random networks is introduced which incorporates contact tracing in addition to random screening. We propose a deterministic mean-field description that yields quantitative agreement with stochastic simulations on random graphs. Both the stochastic simulations and the mean-field equations show secondary epidemics if the contact tracing is not performed with sufficient strength. We also analyze the role of contact tracing in epidemics control in small-world networks and show that its effectiveness grows as the rewiring probability is reduced.