Can you have exercise induced asthma only when running?

Is it possible to only have asthma when running and not when doing other types of exercise? I'm in summer gym right now and I find myself getting severly out of breath really early on into running the mile but when I exercise on the eliptical bike inside for 45min I don't feel a thing. When I ride the bike, I do it a high resistance and relativly fast. Could it also be anxiety about running the mile? I already have an anxiety disorder that affects other things but I can't tell if its just that or if its asthma related.