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索洛增长模型中的大流行效应。

Pandemic effects in the Solow growth model.

作者信息

Carmona Julio, León Ángel

机构信息

Departamento de Fundamentos del Análisis Económico University of Alicante Alacant Spain.

出版信息

Bull Econ Res. 2022 Oct 17. doi: 10.1111/boer.12376.

Abstract

We show how diseases can affect economic growth in a Solow growth model, with population growth and no technical progress, but modified to include a saving rate that depends on the individual health status. We successively insert this model into the SIS (susceptible-infected-susceptible) and SIR (susceptible-infected-recovered) models of disease spreading. In these two models, the spread of the infection proceeds according to the so-called basic reproductive number. This number determines in which of the two possible equilibria, the disease-free or the pandemic equilibrium, the economy ends. We show that output per capita is always lower in the pandemic steady state, which implies a contraction in the economy's production possibilities frontier.

摘要

我们展示了在索洛增长模型中疾病如何影响经济增长,该模型存在人口增长且无技术进步,但进行了修改,纳入了一个取决于个体健康状况的储蓄率。我们相继将此模型嵌入疾病传播的SIS(易感-感染-易感)和SIR(易感-感染-康复)模型中。在这两个模型中,感染的传播按照所谓的基本再生数进行。这个数字决定了经济最终处于两种可能的均衡状态中的哪一种,即无病均衡或大流行均衡。我们表明,在大流行稳态下人均产出总是更低,这意味着经济的生产可能性边界出现收缩。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/95f4/9874504/5af99904b735/BOER-9999-0-g004.jpg

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