According to ayurveda this problem is related with rakta(blood),rasa(lymph-?) & also with tri doshas. From childhood you are suffering from skin & bronchial problems,these 2 are well related with each other,as per the pathogenesis is considered.Any skin problem is due to deformity
in blood+skin+mamsa(muscle)+tri-doshas.In asthamatic cases blood & vatta(vayu) are the major dushys i.e. basic causes.A special treatment is required for all these mentioned,if you are thinking to take an ayurvedic medicines.The medicines which you are currently taking are only symptomatic.I think for complete recovery ayurvedic medicines are the best path-way for you.