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| 風土病性区画モデル（SIS、SIRS、SIRV）× | SEIRモデル× | |
|---|---|---|
| 分野 | 疫学 | 疫学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 2000 | 1991 |
| 提唱者≠ | Herbert Hethcote | Kermack & McKendrick; Anderson & May |
| 種類≠ | Compartmental ODE model | Deterministic compartmental ODE model |
| 原典≠ | Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599–653. DOI ↗ | Anderson, R. M., & May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford University Press. ISBN: 978-0-19-854040-3 |
| 別名 | SIS Model, SIRS Model, SIRV Model, Endemic Disease Models | Susceptible-Exposed-Infectious-Recovered Model, SEIR Compartmental Model, Latent Period Epidemic Model, SEIR Bulaşıcı Hastalık Modeli |
| 関連 | 3 | 3 |
| 概要≠ | Endemic compartmental models extend the classical SIR framework to capture diseases that persist indefinitely in a population rather than burning out after a single epidemic wave. The SIS model allows recovered individuals to return to susceptibility immediately; SIRS introduces temporary immunity before loss; SIRV adds a vaccinated compartment. Together these models are foundational tools for studying diseases such as influenza, gonorrhea, and seasonal pathogens where reinfection or waning immunity is epidemiologically central. | The SEIR model is a deterministic compartmental model that partitions a closed population into four epidemiological states: Susceptible (S), Exposed (E), Infectious (I), and Recovered (R). It extends the classic SIR framework by explicitly incorporating a latent period during which individuals have been infected but are not yet infectious. The model was systematically formalized by Anderson and May (1991) and remains a cornerstone of mathematical epidemiology for diseases with non-negligible incubation periods. |
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