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| Växtsjukdomsmodellen SEIR× | SIR-kompartmentmodellen för epidemier× | |
|---|---|---|
| Ämnesområde≠ | Agronomi | Epidemiologi |
| Familj≠ | Process / pipeline | Regression model |
| Ursprungsår≠ | 1963 (Van der Plank); SEIR plant adaptation developed through 1970s–1990s | 1927 |
| Upphovsperson≠ | Multiple contributors (Van der Plank foundational; Kermack-McKendrick SIR adapted to plant pathology) | Kermack & McKendrick |
| Typ≠ | Deterministic compartmental epidemic model | Deterministic compartmental ODE model |
| Ursprungskälla≠ | Van 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 ↗ |
| Alias | plant SEIR epidemic model, botanical SEIR model, plant disease compartmental model, SEIR phytopathological model | Kermack–McKendrick Model, Susceptible-Infectious-Recovered Model, Compartmental Epidemic Model, SIR Epidemiyoloji Modeli |
| Närliggande≠ | 1 | 3 |
| Sammanfattning≠ | The 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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