As the event prolonged, I’d look to hunting/fishing as a fairly important source of food.

Fishing probably offers the best bang for the buck wrt calories expended vs potential intake. Its pretty easy to throw out a couple of lines and catch enough food for a meal.

Hunting small game would be feasible and having a trained dog increases your potential for success almost exponentially. Hence I would have some major issues with someone viewing my dog as their next meal.

Hunting large game is feasible but you may run into some problems keeping the meat good for a sufficient duration.

I live on the north coast of California. There is wilderness all around, and I can fish both salt and fresh water, as well as hunt both large and small game. I don't think there would be too much competition for subsistence resources ten or more miles outside of town, but one never knows. People have a tendency to panic, and stocking up by way of overharvesting might be a priority for some if not most. Communal cooperative efforts might be the way to go in avoiding resource depletion.

Another issue associated with hunting and fishing is property rights. Whose land are you hunting on...and does it matter if your children are hungry or starving?