Food makes Thomas Burke nauseous. Burke, an ex-Marine, won’t eat in front of people because he’s likely to vomit. He barely gets down meals and never finishes what’s on his plate. He’s struggled with anorexia and bulimia at different periods for more than a decade, and like many other veterans with eating disorders, he attributes them to his time in the military. Burke, of Weston, said that in his Marines’ basic training, drill instructors didn’t eat in front of the troops, which he saw as a message that eating is a weakness.