Wealth distribution under the spread of infectious diseases.,Physical Review E

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Wealth distribution under the spread of infectious diseases.
Physical Review E ( IF 2.2 ) Pub Date : 2020-08-04 , DOI: 10.1103/physreve.102.022303
Giacomo Dimarco ₁ , Lorenzo Pareschi ₁ , Giuseppe Toscani ₂ , Mattia Zanella ₂

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We develop a mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange. The multiagent description leads to the study of the evolution over time of a system of kinetic equations for the wealth densities of susceptible, infectious, and recovered individuals, whose proportions are driven by a classical compartmental model in epidemiology. Explicit calculations show that the spread of the disease seriously affects the distribution of wealth, which, unlike the situation in the absence of epidemics, can converge toward a stationary state with a bimodal form. Furthermore, simulations confirm the ability of the model to describe different phenomenon characteristics of economic trends in situations compromised by the rapid spread of an epidemic, such as the unequal impact on the various wealth classes and the risk of a shrinking middle class.

中文翻译：

财富分布在传染病的传播下。

我们通过将流行病学动态与财富交换的动力学模型相结合，开发了一个数学框架来研究传染病的经济影响。多代理人的描述导致了对易感，传染和康复个体的财富密度的动力学方程系统随时间的演变的研究，其比例是由流行病学中经典的区室模型驱动的。明确的计算表明，疾病的传播严重影响了财富的分配，与没有流行病的情况不同，财富的分配可以以双峰形式收敛到平稳状态。此外，模拟结果证实了该模型能够描述在流行病迅速蔓延危害的情况下经济趋势的不同现象特征，

更新日期：2020-08-04

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