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| 地方性传染病（SIS、SIRS、SIRV）传染病模型× | 基本再生数（R0 和 Rt）× | |
|---|---|---|
| 领域 | 流行病学 | 流行病学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 2000 | 1990 |
| 提出者≠ | Herbert Hethcote | Diekmann, Heesterbeek & Metz |
| 类型≠ | Compartmental ODE model | Threshold parameter for epidemic spread |
| 开创性文献≠ | Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599–653. 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 ↗ |
| 别名 | SIS Model, SIRS Model, SIRV Model, Endemic Disease Models | Basic Reproduction Ratio, Effective Reproduction Number, Net Reproduction Number, Temel Üreme Sayısı |
| 相关≠ | 3 | 2 |
| 摘要≠ | 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 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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