首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Effects of Vaccination Efficacy on Wealth Distribution in Kinetic Epidemic Models
Authors:Emanuele Bernardi  Lorenzo Pareschi  Giuseppe Toscani  Mattia Zanella
Institution:1.Department of Mathematics “F. Casorati”, University of Pavia, 27100 Pavia, Italy; (E.B.); (G.T.); (M.Z.);2.Department of Mathematics and Computer Science, University of Ferrara, 44121 Ferrara, Italy;3.IMATI “E. Magenes”, CNR, 27100 Pavia, Italy
Abstract:The spread of the 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 modeling, 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.
Keywords:wealth distribution  kinetic models  wealth inequalities  compartmental epidemic modelling  vaccination campaign  COVID-19
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号