Effects of Vaccination Efficacy on Wealth Distribution in Kinetic Epidemic Models

Entropy

Lorenzo Pareschi¹  Emanuele Bernardi²  Mattia Zanella²  Giuseppe Toscani² 

[1] Department of Mathematics and Computer Science, University of Ferrara, 44121 Ferrara, Italy;Department of Mathematics “F. Casorati”, University of Pavia, 27100 Pavia, Italy;

关键词: wealth distribution;    kinetic models;    wealth inequalities;    compartmental epidemic modelling;    vaccination campaign;    COVID-19;   

DOI  :  10.3390/e24020216

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown