That seems like a real problem to me. Everyone [who has any] will be taking Tamiflu at the first symptom they think is a flu symptom. There won't be enough tamiflu for everyone. Also, it has a pretty short shelf-life, doesn't it? This is just not a good situation.
The onset symptoms for flu are 102° or higher fever, severe headache and sudden extreme exhaustion. Other symptoms may also be present, but they are not the definitive symptoms.
Everyone [who has any] will be taking Tamiflu at the first symptom they think is a flu symptom.
Why would anyone have Tamiflu if it has not been prescribed by a doctor?