  The sudden and rapid spread of the COVID_19 pandemic with its terrible
consequences has put the management of governments and the various world
institutions into a crisis. They have been subjected to a considerable economic
effort to be taken to combat the spread of the pandemic. The economic
investment for the research and purchase of vaccines intended for populations
is subject to cos-benefit analyzes in various situations in different cases. In
this review work, several recent models are analyzed where the appearance of
the components is coupled with the economic aspect. The analysis of these
models is detailed and the results discussed from different points of view.
