SIR Epidemic — Heterogeneous Degree Network

SIR spreading on scale-free networks (Barabási-Albert). Hubs dramatically lower the epidemic threshold: R₀ = β⟨k²⟩/(γ⟨k⟩). On power-law networks with γ≤3, the threshold vanishes as N→∞.

0.30
0.20
S=100% I=0% R=0%