Your short-term solution will be to keep the door closed, "traffic" issues aside, if you care about the animals... A long term solution could be to invest in one of the manufactured plastic enclosures such as AnimalPlastics, which are very much sealed units with available locking/latching type doors. Not to mention they are much better for holding constant temps/humidity and such.
I have two *very* curious cats who are obsessed with my snake enclosures. Now I do have a designated snake room that stays closed and locked most of the time (always when I'm not home), but with all my cages being modular plastic units, while I'm home, around the area, I can leave the door open, and while the cats will annoyingly climb up on and around the cages, there is no way they can get into them.
The little criminals in action...
![]()