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• W4301597007 abstract "Mathematical models are often regarded as recent innovations in the description and analysis of infectious disease outbreaks and epidemics, but simple models have been in use for projection of epidemic trajectories for more than a century. We recently described a single equation model (the incidence decay with exponential adjustment, or IDEA, model) that can be used for short term forecasting. In the mid-19th century, Dr. William Farr developed a single equation approach (Farr's law) for epidemic forecasting. We show here that the two models are in fact identical, and can be expressed in terms of one another, and also in terms of a susceptible-infectious-removed (SIR) compartmental model with improving control. This demonstrates that the concept of the reproduction number, R0, is implicit to Farr's (pre-microbial era) work, and also suggests that control of epidemics, whether via behavior change or intervention, is as integral to the natural history of epidemics as is the dynamics of disease transmission." @default.
• W4301597007 created "2022-10-05" @default.
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• W4301597007 date "2016-03-03" @default.
• W4301597007 modified "2023-09-27" @default.
• W4301597007 title "Relatedness of the Incidence Decay with Exponential Adjustment (IDEA) Model, Farr's Law and Compartmental Difference Equation SIR Models" @default.
• W4301597007 doi "https://doi.org/10.48550/arxiv.1603.01134" @default.
• W4301597007 hasPublicationYear "2016" @default.
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