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.
SIR compartmental model
Related concepts
- Basic reproduction number R₀
- Incidence and prevalence
- Linear ODE
- K-McK detail (1927)
- Vaccine (Jenner 1796)
- Herd immunity (Fox 1971)
- Contact tracing (Frost 1936)
- Doll-Hill (1950)
- Framingham (1948)
- Soulé (1985)
- Species-area (Arrhenius 1921)
- MacArthur-Wilson (1967)
- PVA (Shaffer 1981)
- IUCN Red List (2001)
- Planetary boundaries (Rockström 2009)