does the airport you are using have parking spots? If not the planes will disappear when taxing.
But it sounds more like a bad flight model. If you have another fighter that works, just use that one. rename it to typhoon(what ever the stock one is called)
Example, if you DL the NEMAI package Michael MacIntyre has a F-16 AI FM which is different that Kirk Olssons FM that comes with the flyable version.
You can rename the air file to Typhoon.air then use the aircraft.cfg that came with the NEMAI F-16. Remove the F-16 texture entries and then copy and paste the Typhoon textures on the F-16.cfg.
Copy the contact points and lights section from your typhoon and replace the ones on the F-16 sections. Your AI Typhoon should now land and TO just like our NEMAI F-16
let me know if you get stuck