There is no season on hogs in Texas. You can shoot as many as you want all year long, and even if you do, you won't put a dent in their population. They breed like rabbits - really MORE than rabbits. A sow can get pregnant well before her 1st birthday, and the gestation period is less than 4 months. They can and often have 3 litters per year. Winters aren't harsh down here, so they are multiplying exponentially.
They are extremely destructive. They tear up pastures, crops, fences, feeders, yards, flower beds, gardens, and everything else they come in contact with. They will eat anything, including fawns and even their own young. Deer don't hang around with hogs. No other animals will.
Hogs are not native game animals. They are feral pests. Sure, they are great fun to hunt, and they're excellent table fare as well. But unrestricted hunting hasn't slowed them down a bit. If everybody in Texas only killed as many hogs as they could eat, then we'd all have them breaking into our houses probably.
I'm generally an advocate of eating what you kill and not just shooting animals and letting them lay, but hogs qualify for a definite exception to that rule in my book. Coyotes and rattlesnakes do to, but those are other stories.