The Contact Process on a Graph Adapting to Infection Density

par John Fernley

jeudi 11 févr. 2021, 14:00 → 15:00 Europe/Paris

A préciser

We prove a phase transition for the contact process (a simple model for infection without immunity) on a homogeneous random graph that is initially Erdős–Rényi, but reacts dynamically to the infection to try to prevent an epidemic via updating edges in only the infected neighbourhoods. Under this graph dynamic, the presence of additional infection can help to prevent the spread and so many monotonicity-based techniques fail but analysis is made possible nonetheless via a forest construction. This talk is based on joint work in progress with Marcel Ortgiese and Peter Mörters.