论文标题
传染病的传播下的财富分配
Wealth distribution under the spread of infectious diseases
论文作者
论文摘要
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。多机构描述导致研究动力学方程系统的演变，以实现易感性，感染性和恢复个体的财富密度，其比例是由流行病学中经典的隔室模型驱动的。明确的计算表明，疾病的传播严重影响了财富的分布，与没有流行病的情况不同，这种分配可能会汇聚到具有双峰形式的固定状态。此外，模拟证实了该模型描述在流行病的迅速传播中损害经济趋势不同现象特征的能力，例如对各种财富阶层的不平等影响以及中产阶级缩小的风险。
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 multi-agent description leads to study 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 towards a stationary state with a bimodal form. Furthermore, simulations confirm the ability of the model to describe different phenomena 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.
