Salīdzināt metodes
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| Endēmiskie nodalījumu modeļi (SIS, SIRS, SIRV)× | Reprodukcijas skaitlis (R0 un Rt)× | |
|---|---|---|
| Nozare | Epidemioloģija | Epidemioloģija |
| Saime | Regression model | Regression model |
| Izcelsmes gads≠ | 2000 | 1990 |
| Autors≠ | Herbert Hethcote | Diekmann, Heesterbeek & Metz |
| Tips≠ | Compartmental ODE model | Threshold parameter for epidemic spread |
| Pirmavots≠ | 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 ↗ |
| Citi nosaukumi | SIS Model, SIRS Model, SIRV Model, Endemic Disease Models | Basic Reproduction Ratio, Effective Reproduction Number, Net Reproduction Number, Temel Üreme Sayısı |
| Saistītās≠ | 3 | 2 |
| Kopsavilkums≠ | 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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