SIR Model

A compartmental epidemiological model that partitions a population into susceptible (S), infectious (I), and recovered/removed (R) compartments and describes transitions between them using rates for infection and recovery (and optionally birth/death).

A compartmental epidemiological model partitioning a population into Susceptible (S), Infectious (I), and Recovered (R) classes with ordinary differential equations Ṡ = −(βSI)/N, İ = (βSI)/N − γI, Ṙ = γI that describe infection by mass-action transmission and recovery at rate γ.

A compartmental mathematical model that divides a fixed population into three mutually exclusive compartments—Susceptible (S), Infectious (I), and Recovered (R)—with flows between compartments governed by transmission and recovery rates; often used to study qualitative epidemic dynamics under assumptions such as homogeneous mixing and immunity after recovery.