The panic buying — at least for the moment — seems to be happening more in the cities. You can still get most things at the supermarkets here, except for toilet paper and disinfectant wipes.
I reckon a couple of weeks from now people will STILL have a two months supply of basics, and the stores will be largely restocked.
It looks like now in France we will have to have a form with us when we leave the house for basic shopping stating that is what we are doing. No meeting in parks or street. No socialising in each others houses (not even family gatherings). The stores will have plenty of time to restock I think