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Modele kompartmentowe endemiczne (SIS, SIRS, SIRV)×Model SEIR×
DziedzinaEpidemiologiaEpidemiologia
RodzinaRegression modelRegression model
Rok powstania20001991
TwórcaHerbert HethcoteKermack & McKendrick; Anderson & May
TypCompartmental ODE modelDeterministic compartmental ODE model
Źródło pierwotneHethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599–653. DOI ↗Anderson, R. M., & May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford University Press. ISBN: 978-0-19-854040-3
Inne nazwySIS Model, SIRS Model, SIRV Model, Endemic Disease ModelsSusceptible-Exposed-Infectious-Recovered Model, SEIR Compartmental Model, Latent Period Epidemic Model, SEIR Bulaşıcı Hastalık Modeli
Pokrewne33
PodsumowanieEndemic 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 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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ScholarGatePorównaj metody: Endemic Compartmental Models · SEIR Model. Pobrano 2026-06-18 z https://scholargate.app/pl/compare