Epidemic Network Percolation

SIR model on a network — epidemic threshold = 1/R₀ as bond percolation

Parameters

SIR State
Susceptible (S):
Infected (I):
Recovered (R):
Step:
Threshold p_c:
Bond prob p:
Epidemic?
Susceptible
Infected
Recovered
Epidemic ↔ giant component.
Bond percolation threshold:
p_c = 1/⟨k⟩ for Erdős-Rényi.
R₀ = β⟨k⟩/γ, epidemic iff R₀>1.