Stop vaping, see your doctor, especially if you have asthma. It's certainly possible that you are sensitive to a vape ingredient (I can't vape PG for example, it makes me have respiratory issues) but there is no real way to know what is going on, and it would be smarter to talk to a doctor about it, not random people on the internet, seriously.
If your doc gives you the go ahead (maybe with a rescue strategy if you get that sensation) you may be able to try and isolate what ingredient(s) are in your vape juice that are giving your problems, could be VG, PG, flavoring or nicotine. IF the doc gives you the go ahead. I understand enjoying "vape life" but you have asthma, man, are you not worried that your airway is swelling sealed? I would be. Please consult your medical professional.
Anna