Epidemic Metapopulation Patch Model

A network of patches each running SIR dynamics with coupling via travel rates m. The global R₀ of a metapopulation differs from local R₀ due to network topology — heterogeneous hubs can sustain epidemics even when local R₀ < 1. Endemic states emerge from synchronization.

Parameters

Patches n 12 β (infection rate) 0.30 γ (recovery rate) 0.10 Travel rate m 0.02 Network type

Local R₀: —

Global infected %: —

Active patches: —

t: 0