Hi welcome to Health care magic forum. It appears that you are suffering with bronchial asthma
, it aggrevates during witer season, if it is not treated promptly and completely it can lead to green or rusty infection due to exudates into the pus.
It can be ordinary cough
after the common cold
due to in adiquate treatment. other possibility is Kennel cough caused by viral or bacterial infection carried from the cannines like dog etc. Possibility of T.B.should be excluded by proper investigationss like sputum for A.F.B.and x ray
I advise you to consult a chest physician for diagnosis and treatment.There are so many new drugs to treat allergy
I advise you to avoid the things which are allergic to you, by finding out the things when you get the infection. other common allergy producing substances are fruits, juices,cool things, fish etc.
Don't worry you will be fine with proper treatment, I wish you a quick solution to your health problem, and thanks for calling.