Think of it from a driver perspective; if a competitor pays less than Uber and has less demand, why drive with them?
And if you think there will be a competitor capable of out-spending Uber using venture capital, think of it from the perspective of a VC; why pour so much capital into a business so unlikely to succeed against an incumbent when you could put it into the incumbent itself?
I think the primary risk to Uber's business is that of a self-driving competitor being capable of disrupting them; such competitors will have capital already, and will be capable of disruption through all the same ingredients that got Uber to where they are. Those companies would probably work with Uber at least at first, anyway. Uber will be at their mercy every time the contract needs to be renewed.
Uber had to spend money to test the waters and figure things out. Competitors can just copy.
Uber's service is more than just an app. They have operations teams in every market they operate in to onboard drivers, deal with local issues, etc.