Bushy-tailed tree rats are the most likely culprits.
Time to begin a sustained, all-out war against them, terminating every one you can with extreme prejudice. Pellet rifles(if you're in town) or .22 rifle/shotgun, traps, poisons - your choice.
If you start now, perhaps you'll have managed to have a significant impact upon the local population of the vermin by the time next fruiting season rolls around.
They're not an endangered/protected species, and as you've learned, they don't *share* or 'play fair'.

Crush. Kill. Destroy.