SIS Epidemic — Spectral Radius Threshold
Epidemic threshold τ_c = 1/λ_max(A) on heterogeneous networks
Network & Epidemic
Transmission β:
0.15
Recovery δ:
1.0
Network type:
Erdős-Rényi
Barabási-Albert
Small-World
k-Regular
N nodes:
60
New Network
Seed
Threshold
—
τ_c = δ / (β λ_max)
SIS: dI/dt = βSI/N - δI
R₀ = β λ_max / δ
Epidemic iff R₀ > 1