the army will need to step in to keep peace. you are probably looking at a curfews to prevent looting.

edit: probably also rationing: Canned goods are starting to look a bit bare at our local supermarket in Florence, about 200km from Italy's COVID19 cases. https://twitter.com/JacekWork/status/1231900845802954757

edit-2: Residents in Milan, Italy have raided the grocery stores as panic about COVID19 and city lockdowns sets in. https://twitter.com/RuralCdn/status/1231969752890957824