Compartmental models (epidemiology)

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Compartmental models are a mathematical framework used to simulate how populations move between different states or "compartments". While widely applied in various fields, they have become particularly fundamental to the mathematical modelling of infectious diseases. In these models, the population is divided into compartments labeled with shorthand notation – most commonly S, I, and R, representing Susceptible, Infectious, and Recovered individuals. The sequence of letters typically indicates the flow patterns between compartments; for example, an SEIS model represents progression from susceptible to exposed to infectious and then back to susceptible again. These models originated in the early 20th century through pioneering epidemiological work by several mathematicians. Key developments include Hamer's work in 1906, Ross's contributions in 1916, collaborative work by Ross and Hudson in 1917, the seminal Kermack and McKendrick model in 1927, and Kendall's work in 1956. The historically...

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