On private property with landowner permission, wild pigs may be trapped and hunted year round using any legal to own rifle, shotgun, crossbow, bow or pistol. There is no size or bag limit, and you may harvest either sex. Also, no hunting license is required. A gun and light at night permit is not required to take wild hogs with a gun and light on private lands with landowner permission.
http://myfwc.com/hunting/by-species/wild-hog/
That’s a very good way to keep them under control, although it may not eradicate them completely.