Hi. I've Had A Cough For A While Without Having

Hi. I've had a cough for a while without having a cold. I'm pretty healthy and exercise about 5 days a week. Is it possible for it to be exercised induced asthma? I am also experiencing a loss in appetite. I think it might be attributable to my anti-depressant medication. But, I have been on that a while and don't understand why my lack of appetite has been sharply decreased, even with all the exercise. I average a little more than a meal the past couple days.