What genre have the games like Travian?
The Travian itself describes it as realtime strategy. But looking at the classic one like Dune 2 or StarCraft, Travian is definitely something else.
The Wikipedia has nice https://en.m.wikipedia.org/wiki/Video_game_genre but is it missing one for Travian.
For clarification the question is about realtime not the strategy part. For example most of the shooter games are realtime. Realtime usually means quick decisions and some dexterity skills. Travian and ogame lacks of both.
The https://en.wikipedia.org/wiki/Travian#:%7E:text=Travian%3A%20Legends%20is%20a%20persistent,%22Travian%22%20by%20Gerhard%20M%C3%BCller. lists it as
[...] a persistent, browser-based, massively multiplayer, online real-time strategy game developed by the German software company Travian Games. It was originally written and released in June 2004 as "Travian" by Gerhard Müller.
Looking at what that genre evolved into, Clash of Empires, they say it's an MMO game. Which doesn't mean much, just it's multiplayer and online.
If I had to put down a category, I would say it's a browser-based, timer-based, MMO Strategy game. Even if such a category doesn't exist.
*opinion : And really, at the end of the day, classifying games by solid genra becomes harder and harder every year. Games are not usually staying in their lanes anymore, and often go and pickup things from other games or even creating new types of themselves.