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Endemické kompartmentové modely (SIS, SIRS, SIRV)×Model SIR (kompartmentový epidemiologický model)×
OborEpidemiologieEpidemiologie
RodinaRegression modelRegression model
Rok vzniku20001927
TvůrceHerbert HethcoteKermack & McKendrick
TypCompartmental ODE modelDeterministic compartmental ODE model
Původní zdrojHethcote, 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 ↗
Další názvySIS Model, SIRS Model, SIRV Model, Endemic Disease ModelsKermack–McKendrick Model, Susceptible-Infectious-Recovered Model, Compartmental Epidemic Model, SIR Epidemiyoloji Modeli
Příbuzné33
ShrnutíEndemic 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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ScholarGatePorovnat metody: Endemic Compartmental Models · SIR Model. Získáno 2026-06-18 z https://scholargate.app/cs/compare