There are several kinds of insect pests that can be great trouble to the peach. The Oriental fruit moth can make the peaches filled with worms and young growing tips may die. The plum curculio lays its eggs on the fruit, and makes them drop off or become filled with worms. Insects like the tarnished plant bug and the stink bug eat up the fruit that is still developing. Borers attack the base of the trunk and the branches.