SIR R_0 = β/γ; R_eff = R_0·S/N; herd-immunity v_c = 1 − 1/R_0; dS/dt, dI/dt, dR/dt ODE

Layer 3 — Biologyin the epidemiology subtree

SIR basic reproduction number framework — the canonical compartmental-epidemic-model core quantity (Kermack-McKendrick 1927; Anderson & May 1991 book). Setup: population of size N partitioned into S (susceptible), I (infected), R…

Related concepts

Ordinary differential equation (ODE)
SIR: R_0=β/γ; v_c=(β−γ)/β; at R_0=2: v_c=1/2; at R_0=4: v_c=3/4

Explore SIR R_0 = β/γ; R_eff = R_0·S/N; herd-immunity v_c = 1 − 1/R_0; dS/dt, dI/dt, dR/dt ODE on the interactive knowledge graph →