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Модель SEIR для болезней растений×Компартментная эпидемическая модель SIR×
ОбластьАгрономияЭпидемиология
СемействоProcess / pipelineRegression model
Год появления1963 (Van der Plank); SEIR plant adaptation developed through 1970s–1990s1927
Автор методаMultiple contributors (Van der Plank foundational; Kermack-McKendrick SIR adapted to plant pathology)Kermack & McKendrick
ТипDeterministic compartmental epidemic modelDeterministic compartmental ODE model
Основополагающий источникVan der Plank, J. E. (1963). Plant Diseases: Epidemics and Control. Academic Press, New York. link ↗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 ↗
Другие названияplant SEIR epidemic model, botanical SEIR model, plant disease compartmental model, SEIR phytopathological modelKermack–McKendrick Model, Susceptible-Infectious-Recovered Model, Compartmental Epidemic Model, SIR Epidemiyoloji Modeli
Связанные13
СводкаThe Plant Disease SEIR Model is a deterministic compartmental modelling framework adapted from human epidemiology to describe how a pathogen spreads through a host plant population. Rooted in the foundational work of J. E. Van der Plank and the Kermack-McKendrick tradition, it partitions all plants into four states — Susceptible, Exposed (latently infected), Infectious, and Removed — and tracks their transitions over time using a system of ordinary differential equations. It is a core tool in quantitative plant pathology and crop protection research.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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ScholarGateСравнение методов: Plant Disease SEIR Model · SIR Model. Получено 2026-06-18 из https://scholargate.app/ru/compare