SIR spreading on a random tree network. The epidemic threshold is R0 = β/γ · (⟨k²⟩−⟨k⟩)/⟨k⟩ > 1. Visualize cascading infection fronts and final outbreak size.
Parameters
R₀ = 0 S: 0 I: 0 R: 0
SIR on trees — exact: Final size satisfies: R∞/N = 1 − e^(−R₀·R∞/N)