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Mô hình Dịch tễ học Compartmental SIR×Mô hình hóa dựa trên tác nhân (ABM)×Số sinh sản cơ bản (R0) và số sinh sản hiệu dụng (Rt)×Mô hình SEIR×
Lĩnh vựcDịch tễ họcMô phỏngDịch tễ họcDịch tễ học
HọRegression modelProcess / pipelineRegression modelRegression model
Năm ra đời19271970s–1990s (formalized as a field)19901991
Người khởi xướngKermack & McKendrickThomas Schelling and Robert Axelrod (foundational contributions, 1970s–1990s)Diekmann, Heesterbeek & MetzKermack & McKendrick; Anderson & May
LoạiDeterministic compartmental ODE modelComputational simulation methodThreshold parameter for epidemic spreadDeterministic compartmental ODE model
Công trình gốcKermack, W. O., & McKendrick, A. G. (1927). A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society A, 115(772), 700–721. DOI ↗Axelrod, R. (1997). The Complexity of Cooperation: Agent-Based Models of Competition and Collaboration. Princeton University Press. DOI ↗Diekmann, 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 ↗Anderson, R. M., & May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford University Press. ISBN: 978-0-19-854040-3
Tên gọi khácKermack–McKendrick Model, Susceptible-Infectious-Recovered Model, Compartmental Epidemic Model, SIR Epidemiyoloji ModeliABM, Ajan Tabanlı Modelleme (ABM), multi-agent simulation, individual-based modelingBasic Reproduction Ratio, Effective Reproduction Number, Net Reproduction Number, Temel Üreme SayısıSusceptible-Exposed-Infectious-Recovered Model, SEIR Compartmental Model, Latent Period Epidemic Model, SEIR Bulaşıcı Hastalık Modeli
Liên quan3523
Tóm tắtThe SIR model is a foundational mathematical framework for describing the spread of infectious diseases through a population. Introduced by William Ogilvy Kermack and Anderson Gray McKendrick in 1927, it partitions a closed population of size N into three mutually exclusive compartments: Susceptible (S), Infectious (I), and Recovered (R). A system of ordinary differential equations governs the flow of individuals between compartments, capturing epidemic dynamics with two key parameters — the transmission rate β and the recovery rate γ.Agent-based modeling (ABM) is a computational simulation method, formalized through the work of Thomas Schelling and Robert Axelrod in the 1970s–1990s, that simulates the behavior of complex systems by specifying and running autonomous agents — individuals, firms, cells, or any bounded entity — whose local interactions with each other and with their environment collectively produce global, system-level patterns that could not be predicted from any single agent's rules alone.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.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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ScholarGateSo sánh phương pháp: SIR Model · Agent-Based Modeling · Reproduction Number · SEIR Model. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare