Doctor Who will traverse the next decade. The time-travel series has been confirmed for at least another five seasons, per Steven Moffat.
Speaking to Variety, the head writer confirmed that the “business plan” will see Doctor Who through Season 14 (2020-21), with the series to “just keep going” beyond that:
It is definitely going to last five more years, I’ve seen the business plan. It’s not going anywhere. And I think we can go past that. It’s television’s own legend. It will just keep going.