Level 1: Symptoms and manifestations of allergic cough in infants. Allergic cough is a common respiratory disease. Especially in winter, due to low temperature, dry air and other reasons, it can easily cause respiratory tract infection in babies. When your baby has frequent dry or wet coughs, accompanied by symptoms such as runny nose and sneezing, it is likely to be an allergic cough. In addition, there are some other symptoms that can also indicate that your baby is suffering from allergic cough. :