Smith G
School of Veterinary Medicine, University of Pennsylvania, 382 West Street Road, Kennett Square, PA 19348, USA.
Rev Sci Tech. 2011 Aug;30(2):447-56. doi: 10.20506/rst.30.2.2041.
A mathematical model is just a means of representing and manipulating something that would not otherwise be accessible. Decision theorists argue that a right decision is one that makes the best use of the available information and using mathematical models of infectious and parasitic disease can help make sure the decision-makers do just that. Seen in this light, models are simply aids to thought--and thus, by definition, good models are useful. This paper deals with the history of mathematical models of parasitic infections of domestic ruminants. It is argued that the early simple forecasting models were very successful, and, although the more complicated models that were constructed to improve the resolution of the forecasts were mostly failures, the experience gained generated a slew of useful, robust models that are still valuable decision-making tools.
数学模型只是一种表示和处理那些无法直接获取的事物的手段。决策理论家认为,正确的决策是能够充分利用现有信息的决策,而使用传染病和寄生虫病的数学模型有助于确保决策者做到这一点。从这个角度来看,模型仅仅是思维的辅助工具——因此,根据定义,好的模型是有用的。本文探讨了家养反刍动物寄生虫感染数学模型的历史。有人认为,早期的简单预测模型非常成功,尽管为提高预测分辨率而构建的更复杂模型大多失败了,但所获得的经验催生了一系列有用且可靠的模型,这些模型至今仍是有价值的决策工具。