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মহামারী সংক্রামক মডেল (SIS, SIRS, SIRV)×SEIR মডেল×SIR Compartmental Epidemic Model×
ক্ষেত্রমহামারীবিদ্যামহামারীবিদ্যামহামারীবিদ্যা
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর200019911927
প্রবর্তকHerbert HethcoteKermack & McKendrick; Anderson & MayKermack & McKendrick
ধরনCompartmental ODE modelDeterministic compartmental ODE modelDeterministic compartmental ODE model
মৌলিক উৎসHethcote, 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: 978-0-19-854040-3Kermack, 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 ↗
অপর নামSIS Model, SIRS Model, SIRV Model, Endemic Disease ModelsSusceptible-Exposed-Infectious-Recovered Model, SEIR Compartmental Model, Latent Period Epidemic Model, SEIR Bulaşıcı Hastalık ModeliKermack–McKendrick Model, Susceptible-Infectious-Recovered Model, Compartmental Epidemic Model, SIR Epidemiyoloji Modeli
সম্পর্কিত333
সারসংক্ষেপEndemic 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.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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ScholarGateপদ্ধতির তুলনা করুন: Endemic Compartmental Models · SEIR Model · SIR Model. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare