This app was mentioned in 3 comments, with an average of 2.33 upvotes
A similar game without the Real Time aspect is air tycoon 4
https://play.google.com/store/apps/details?id=com.tradegamelab.at4
I haven't played it in a while, but spent a solid week a few years ago building up my massive airline empire
AirTycoon 4 is probably my most played mobile game, I'm on Android, but I think there's an iOS version too. It probably can't compete with comparable PC tycoon games if that's what you're looking for, but it's great for a mobile game imo, plus it's offline so it's a great time killer on long flights and such, the one-time $5 for the full version has been well worth it for me.
Try Airtycoon 4 https://play.google.com/store/apps/details?id=com.tradegamelab.at4 Or some of Kairosoft tycoon games, they're really fun