is an antibiotic and cannot cure cough symptomatically.
From your description… the cough this child is having is likely to be related to airway narrowing and may be related to asthma
Treatment of cough with long term airway obstruction
often involves frequent and prolonged use of inhaled salbutamol
and or steroids…
Do discuss with your child airway asthma specialist.
Thanks.you may read further about cough at www.breathingdiary.com charting the symptoms is key to plan the management of such levolin responsive cough.