  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.
