Recursive contact tracing in Reed-Frost epidemic models
arXiv:2103.06427 · doi:10.1088/1478-3975/ac0fd1
Abstract
We introduce a Reed-Frost epidemic model with recursive contact tracing and asymptomatic transmission. This generalizes the branching-process model introduced by the authors in a previous work [arxiv:2004.07237] to finite populations and general contact networks. We simulate the model numerically for two representative examples, the complete graph and the square lattice. On both networks, we observe clear signatures of a contact-tracing phase transition from an "epidemic phase" to an "immune phase" as contact-network coverage is increased. We verify that away from the singular line of perfect tracing, the finite-size scaling of the contact-tracing phase transition on each network lies in the corresponding percolation universality class. Finally, we use the model to quantify the efficacy of recursive contact-tracing in regimes where epidemic spread is not contained.
arXiv comment10 pages, 11 figures
References in corpus (9)
- A High-Resolution Human Contact Network for Infectious Disease Transmission
- Recent advances in percolation theory and its applications
- On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
- Kinetic Theory of Random Graphs: from Paths to Cycles
- Size of Outbreaks Near the Epidemic Threshold
- Finite-size scaling of the stochastic susceptible-infected-recovered model
- Scaling Behavior of Threshold Epidemics
- Proximity: a recipe to break the outbreak
- Digital Herd Immunity and COVID-19