Wealth distribution under the spread of infectious diseases
Wealth distribution under the spread of infectious diseases
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DOI：
10.1103/physreve.102.022303
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发表时间：
2020-08-04
影响因子：
2.4
通讯作者：
Zanella, Mattia
中科院分区：
文献类型：
--
作者：
Dimarco, Giacomo;Pareschi, Lorenzo;Zanella, Mattia
我们开发了一个数学框架，通过将流行病学动态与财富交换的动力学模型相结合来研究传染病的经济影响。多智能体的描述导致了对易感，传染和恢复的个人，其比例是由一个经典的流行病学房室模型的财富密度的动力学方程系统随时间的演变的研究。显式计算表明，疾病的传播严重影响了财富的分配，这与没有流行病的情况不同，可以收敛到一个双峰形式的稳态。此外，模拟证实了该模型能够描述在流行病迅速蔓延的情况下经济趋势的不同现象特征，例如对不同财富阶层的不平等影响和中产阶级萎缩的风险。
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.