Antonyms of succumb:
come through, make it, pull round, pull through, survive, contend, fight, hold off, battle, breast, combat, confront, counter, defy, face, meet, object, oppose, repel, thwart, withstand, resist, reject, bridle, check, constrain, curb, inhibit, restrain, stifle, come to, revive, linger, be, exist, subsist, flourish, prosper, thrive, breathe, live, buck, beat, overcome, win, conquer, prevail, triumph, endure, stand.
Examples of usage:
  1. Well, your majesty, then we shall succumb and die, but it will be an honorable defeat.
    "Andreas Hofer", Lousia Muhlbach.
  2. At last, however, weary nature had to succumb, and she fell into a deep sleep, which lasted until she was awakened by the sun shining on her face.
    "Captain Fracasse", Theophile Gautier.
  3. Being totally unfitted by nature to survive such unnatural conditions, it is not strange that they succumb.
    "The Extermination of the American Bison", William T. Hornaday.