论文标题
疫苗接种功效对动力学流行模型中财富分布的影响
Effects of vaccination efficacy on wealth distribution in kinetic epidemic models
论文作者
论文摘要
Covid-19-19的大流行的传播强调了在紧急管理中经济学与健康之间的密切联系。广泛的疫苗接种运动被认为是遏制经济后果的主要工具。本文将以财富分配建模的水平将其重点放在疫苗接种运动中的经济改善上，以其有效性率。大流行期间的经济趋势被评估为一个数学模型，该模型加入了一个经典的隔间模型，其中包括采用基于二进制财富交流的财富分配的接种疫苗的个体。财富交流与传染病的进步之间的相互作用是通过一方面假设不同隔间中的个人在经济过程中采取不同的行动而实现的，另一方面，流行病会影响经济交易的风险。使用动力学理论的数学工具，可以识别系统的平衡状态以及由于人口财富分布中大流行而导致的不平等的形成。数值实验强调了疫苗接种运动的重要性及其在减少多代理社会经济不平等方面的积极影响。
The spreading of Covid-19 pandemic has highlighted the close link between economics and health in the context of emergency management. A widespread vaccination campaign is considered the main tool to contain the economic consequences. This paper will focus, at the level of wealth distribution modelling, on the economic improvements induced by the vaccination campaign in terms of its effectiveness rate. The economic trend during the pandemic is evaluated resorting to a mathematical model joining a classical compartmental model including vaccinated individuals with a kinetic model of wealth distribution based on binary wealth exchanges. The interplay between wealth exchanges and the progress of the infectious disease is realized by assuming on the one hand that individuals in different compartments act differently in the economic process and on the other hand that the epidemic affects risk in economic transactions. Using the mathematical tools of kinetic theory, it is possible to identify the equilibrium states of the system and the formation of inequalities due to the pandemic in the wealth distribution of the population. Numerical experiments highlight the importance of the vaccination campaign and its positive effects in reducing economic inequalities in the multi-agent society.
