Can there exist two Dalai Lamas at one instance of time? I am developing an application which calculates peoples age/ birthdays. In this app I have one entry for the Dalai Lama. 

My understanding is that its the 14 Dalai Lama who is alive right now. So a concern is raised that should I use the name Dalai Lama or 14 Dalai Lama

I want to know if there can be two Dalai Lamas alive at the same instance if this is not true I can simply use the name Dalai Lama Please shed light on this aspect!
It should be "14th Dalai Lama" or "14th Dalai Lama", not "14 Dalai Lama".

I think that "Dalai Lama" is a title, not a name.

According to Wikipedia,


  The 14th Dalai Lama (religious name: Tenzin Gyatso, shortened from Jetsun Jamphel Ngawang Lobsang Yeshe Tenzin Gyatso, born Lhamo Dondrub,[1] 6 July 1935) is the current Dalai Lama


Another example of a title is "President of the United States". For example, Barack Obama is "the President", and he is also more specifically called "the 44th President".