dS/dt = –βSI/N; dI/dt = βSI/N – γI; dR/dt = γI. Basic deterministic model of epidemics; R₀ = β/γ, final-size equation ln(S∞/S₀) = –R₀(1 – S∞/N). Foundation of mathematical epidemiology.
dS/dt = –βSI/N; dI/dt = βSI/N – γI; dR/dt = γI. Basic deterministic model of epidemics; R₀ = β/γ, final-size equation ln(S∞/S₀) = –R₀(1 – S∞/N). Foundation of mathematical epidemiology.