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math.PR2023
The Contact Process on a Graph Adapting to the Infection
John Fernley, Peter Mörters, Marcel Ortgiese
We show existence of a non-trivial phase transition for the contact process, a simple model for infection without immunity, on a network which reacts dynamically to the infection t…
math.PR2023
Targeted Immunisation Thresholds for the Contact Process on Power-Law Trees
John Fernley, Emmanuel Jacob
Scale-free configuration models are intimately connected to power law Galton-Watson trees. It is known that contact process epidemics can propagate on these trees and therefore the…