The biggest problem with children is that they like to rip holes in insect screens on doors/windows.
Replacing the insect screen is not always a viable solution (they cost money - especially since new one will be torn shortly again; or, the window is non-standard size and finding matching screen size is hard or impossible).
Assuming the rips aren't too big - under 10 inches long and 1 in inch wide, and most are much smaller - is there an effective way to patch up the rips?
The obvious solution (clear scotch tape) doesn't work because it refuses to stick to insect screen well and falls off easily.
I'm looking for a lifehack, not a professional repairman level solution.