in any environment with smoke sources this will happen. dust and smoke most likely get onto one of the LCD panels on the prism inside to projector. i suspect the red one is the closest to the intake fan/filter and thus getting the most dirt onto it.
the fan is also noisy because of dirt accumulation, projectors turning off because of overheating also.
in this kind of environment i would suggest cleaning out filters (take them out, use compressed air to blow out dirt) every two weeks or so, or basically as often as you can, note when you notice the buildup. i am not so sure for the intake fans, because one could just make things worse using compressed air to blow dirt into the projector, making the prism accumulate even more dirt. consult the manual of the projector.
another thing to think about would be a 'dust box'. they can be custom made but one can find some on google easily.