Here, in the USA, I am given to wonder what the role of FEMA (Federal Emergency Management Agency) is in the COVID crisis. What I have found is that FEMA is not dictating any kind of policy and limiting itself to funding financially, the response to the COVID pandemic, the costs of assistance: vaccine support, hospital and patient support, regulating, economic support and recovery, and of curious note, funerals. Whether FEMA funded the monies sent to people to buoy up the economy, the answer is yes, they are the force behind that. The US made a federal disaster declaration in March of 2020, shortly after the pandemic really increased in number of infections with the first wave. That pulled FEMA into effect.
DHS, The US Department of Homeland Security, is another agency that I am given to wonder about with regard to covid. DHS, it seems, has served to coordinate efforts between the White House, federal, state and local governments, CDC (Center for Desease Control), transportation facilities and other elements of the US infrastructure, - and I would hope, the supply chain issues. If any agency might be tasked with enforcing transmissability guidelines, DHS would be that, I assume.
What the European and other World government equivalents of these agencies are, I haven't a clue.