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SEIRモデル×実数(R0およびRt)×
分野疫学疫学
系統Regression modelRegression model
提唱年19911990
提唱者Kermack & McKendrick; Anderson & MayDiekmann, Heesterbeek & Metz
種類Deterministic compartmental ODE modelThreshold parameter for epidemic spread
原典Anderson, R. M., & May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford University Press. ISBN: 978-0-19-854040-3Diekmann, O., Heesterbeek, J. A. P., & Metz, J. A. J. (1990). On the definition and the computation of the basic reproduction ratio R0. Journal of Mathematical Biology, 28(4), 365–382. link ↗
別名Susceptible-Exposed-Infectious-Recovered Model, SEIR Compartmental Model, Latent Period Epidemic Model, SEIR Bulaşıcı Hastalık ModeliBasic Reproduction Ratio, Effective Reproduction Number, Net Reproduction Number, Temel Üreme Sayısı
関連32
概要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.The basic reproduction number R0 is the expected number of secondary infections produced by a single infectious individual introduced into a fully susceptible population. Formally defined and computationally grounded by Diekmann, Heesterbeek, and Metz in 1990 using the next-generation matrix approach, R0 serves as the central threshold parameter in mathematical epidemiology: if R0 > 1, an epidemic can establish itself; if R0 < 1, the outbreak dies out. The effective reproduction number Rt extends this to partially immune or partially susceptible populations over time.
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ScholarGate手法を比較: SEIR Model · Reproduction Number. 2026-06-18に以下より取得 https://scholargate.app/ja/compare