By a sheer coincidence there is an answer from IL Ministry of Health CEO (yes there is such a thing) who just today claimed that the existing measures, which are quite similar if not stricter than those quoted are not enough and did not give satisfying effect.
As such government intends to put forward a 7 day lockdown on almost everything, where people can only get out of homes with ID to resupply, walk their pets or go to work (if it's still allowed to be open). On top of it - almost all public transportation will be cancelled and police will be able to check ID of the passersby and fine them if they are not in the general vicinity of their homes.
Official briefing will be followed tomorrow, I think.