This plague takes some of the worst from every zombie movie you might have seen and puts it together. It's airborne and can survive for a week in the air, and it is transmitted to humans through all body fluids. There is a minority of people (5%) who are immune to the airborne form, but not to the transmission through fluids in contact with mucous membranes, and they won’t know before a week. The virus turns people into zombies. After a bite, for example, it would take 10-20 minutes. The airborne virus takes 1-2 hours.
Add to this the fact that the zombies are as fast as humans but fearless. Even though they decompose over time (making them weaker), consuming human blood will allow them to recover. Blood from other mammals can feed them but not regenerate them.
They can only be killed with a head hit that would cause a head trauma to a normal person (an average boxer punch to the nose won't suffice). They don't have other likely weaknesses. The dead turn into zombies only if infected within 10 minutes of death. The zombies want to touch you to infect you, not only feed from you.
In order for humankind to recover after the plague is controlled, let's suppose there'll need to be at least 100 communities of 10 or more survivors in one continent, or one community of 10,000 (or similar combinations) left – any less or more dispersed populations wouldn't make it.
What would you take in account to guess the outcome? What chances would we have?