Subcritical epidemics on random graphs

Epidemiology (92D30) Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

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Exponential extinction time of the contact process on finite graphs
Phase transition of the contact process on random regular graphs
Metastable densities for the contact process on power law random graphs
Multiple transition points for the contact process on the binary tree
The existence of an intermediate phase for the contact process on trees
Interacting particle systems. With a new postface.
Contact processes on random graphs with power law degree distributions have critical value 0
Gibbs measures and phase transitions on sparse random graphs
The contact process on a finite set
The contact process on a finite set. II
The contact process on trees
Contact interactions on a lattice
Domination by product measures
Contact processes on random regular graphs
Extinction time for the contact process on general graphs
Exact thresholds for Ising-Gibbs samplers on general graphs
Survival and extinction of epidemics on random graphs with general degree
Metastability for the contact process on the configuration model with infinite mean degree
The critical contact process dies out
Random Graphs and Complex Networks
The contact process on finite homogeneous trees revisited
Percolation by cumulative merging and phase transition for the contact process on random graphs
Rapid mixing of Gibbs sampling on graphs that are sparse on average
The Probability That a Random Multigraph is Simple
A Metastable Result for the Finite Multidimensional Contact Process
A critical point for random graphs with a given degree sequence
Critical value asymptotics for the contact process on random graphs
Poisson Cloning Model for Random Graphs
On Ising's model of ferromagnetism
The contact process on finite homogeneous trees

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