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疾病致死性影响因素的数学指标。

Mathematical indices for the influence of risk factors on the lethality of a disease.

机构信息

Departmento de Teoría e Historia Económica, Universidad de Granada, Granada, Spain.

I.U. Centro de Investigación Operativa (CIO), Universidad Miguel Hernández de Elche, Elche, Spain.

出版信息

J Math Biol. 2021 Dec 8;83(6-7):74. doi: 10.1007/s00285-021-01700-4.

Abstract

We develop a theoretical model to measure the relative relevance of different pathologies of the lethality of a disease in society. This approach allows a ranking of diseases to be determined, which can assist in establishing priorities for vaccination campaigns or prevention strategies. Among all possible measurements, we identify three families of rules that satisfy a combination of relevant properties: neutrality, irrelevance, and one of three composition concepts. One of these families includes, for instance, the Shapley value of the associated cooperative game. The other two families also include simple and intuitive indices. As an illustration, we measure the relative relevance of several pathologies in lethality due to COVID-19.

摘要

我们开发了一个理论模型来衡量疾病在社会中的不同病理对死亡率的相对相关性。这种方法可以对疾病进行排序,从而有助于确定疫苗接种运动或预防策略的优先次序。在所有可能的测量方法中,我们确定了满足中性、不相关性和三个组合概念之一的三个规则族:其中一个规则族包括相关合作博弈的 Shapley 值。另外两个规则族还包括简单直观的指标。例如,我们衡量了 COVID-19 致死率中几种病理的相对相关性。

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