Epidemic Wavefront & Spatial Spread

Reaction-diffusion SIR model with traveling wave solutions

The spatial SIR model adds diffusion to classic epidemic dynamics. An initial outbreak seeds a wavefront that propagates outward at speed c ≥ 2√(D(β−γ)) (Fisher-KPP). Click the canvas to seed new outbreaks. Red = infected, green = susceptible, blue = recovered/immune.