The more relevant question is, what business plan is going to let someone with a similar website attract customers?

You have to find a weak point in Airbnb. Maybe focus on particular underserved cities. Maybe only allow amazing properties and aggressively poach them from Airbnb. Maybe try to enforce a common high-end experience by providing hosts with branded physical goods. Maybe piggyback on an existing hotel brand. Maybe market to the business market exclusively (worked for LinkedIn.) Just some quick ideas, and maybe not viable, but just cloning Airbnb isn't going to get you far.