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| Endemiske kompartmentmodeller (SIS, SIRS, SIRV)× | SIR-kompartmentel epidemi-model× | |
|---|---|---|
| Fagområde | Epidemiologi | Epidemiologi |
| Familie | Regression model | Regression model |
| Oprindelsesår≠ | 2000 | 1927 |
| Ophavsperson≠ | Herbert Hethcote | Kermack & McKendrick |
| Type≠ | Compartmental ODE model | Deterministic compartmental ODE model |
| Oprindelig kilde≠ | Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599–653. DOI ↗ | Kermack, 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 ↗ |
| Aliasser | SIS Model, SIRS Model, SIRV Model, Endemic Disease Models | Kermack–McKendrick Model, Susceptible-Infectious-Recovered Model, Compartmental Epidemic Model, SIR Epidemiyoloji Modeli |
| Relaterede | 3 | 3 |
| Resumé≠ | 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 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. |
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