A Flexible Model for Studying Plant Disease Progression

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Abstract
It is desirable for several reasons for epidemiologists to be able to depict with a single mathematical function the full range of shapes found in disease progress curves. Because of its simplicity and flexibility of application, the Weibull probability density function and cumulative distribution can be applied as such a disease progress model. Disease progress curves corresponding to simple interest and compound interest disease were accurately fit with the Weibull function. The Weibull model also was used to depict the full range of shapes possible for disease progress curves. Its flexibility and accuracy make the Weibull function a useful technique for modeling plant disease epidemics.

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