My daughter got the same problem (diarrhoea & vomit) for 2 weeks. 6-9 times each day. Seem much better today - 2 times up to now. We consulted 3 doctors and didn't get better. Finally she admitted to hospital for two days. However, the doctor in hospital didn't give any medicine for her but just let her poo poo as they said let the bacteria to get out of the body. How poor she is. She becomes small size from large size.
Her poo poo is also with sticky thing and bad sour smell.
Give your baby more water to drink is most important and can also change the formula to soy powder for infant if the problem lasts.