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재생산수 (R0 및 Rt)×확률 미분 방정식 (Stochastic Differential Equations, SDEs)×
분야역학시뮬레이션
계열Regression modelProcess / pipeline
기원 연도19901944 (theory); 1992 (numerical framework)
창시자Diekmann, Heesterbeek & MetzKiyosi Itô (Itô calculus, 1944); Peter Kloeden & Eckhard Platen (numerical methods, 1992)
유형Threshold parameter for epidemic spreadContinuous-time stochastic process model
원전Diekmann, 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 ↗Øksendal, B. (2003). Stochastic Differential Equations: An Introduction with Applications (6th ed.). Springer. DOI ↗
별칭Basic Reproduction Ratio, Effective Reproduction Number, Net Reproduction Number, Temel Üreme SayısıSDE, Itô equations, Stokastik Diferansiyel Denklemler (SDE)
관련24
요약The 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.Stochastic differential equations (SDEs) are differential equation models that combine a deterministic drift term — governing the average tendency of a system — with a stochastic diffusion term driven by a Wiener process (Brownian motion). Pioneered through Itô calculus by Kiyosi Itô in 1944 and given a comprehensive numerical treatment by Kloeden and Platen in 1992, SDEs are the standard modelling language for continuous-time systems subject to random noise, including financial asset prices, population dynamics, and physical processes.
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ScholarGate방법 비교: Reproduction Number · Stochastic Differential Equations. 2026-06-19에 다음에서 검색함: https://scholargate.app/ko/compare