Here in Jersey: Bow season starts in Sept. and with the right permits lasts until middle of Feb.
Firearm season starts end of Sept. and with the proper permits lasts also to the middle of Feb.

The gun hunter might not be able to see the archer but there is no reason the archer shouldn' t be able to hear and see a gun hunter walking through the woods in blaze orange. (If he doesn' t hows he supposed to see a deer?) He then has the option of letting the hunter go by or letting him know he is there.