SIR model basic reproduction number
Estimates the number of secondary infections caused by one infected person in all susceptible groups.
symbols, variables and units
β: frequency-dependent propagation rate (time⁻¹); γ: recovery rate (time⁻¹); R₀: dimensionless.
applicable conditions and boundaries
Uniformly mixed SIR, S/N≈1; intervention and group structure changes actually spread.
formula source code
The following is a copyable LaTeX expression.
R_0=\frac\beta\gamma
Reference and Extended Learning
CDC · Principles of Epidemiology ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
SIRInfectious diseases