How to stop an infection from bleeding?

Long story short, my cheek swelled up 3 days ago, I went to the doctor and received Augmentin XR – a dosage of two 1000mg pills every 12 hours.

Now, it’s gotten smaller and no longer swelled up like before, yellow fluids where coming out earlier – but now it’s just blood.

I’ll be going back to school and want to stop it from bleeding, other than putting a band-aid on it, what else could I do? thanks :)