Both composers use crescendos to build up tension and decrescendos to release it. Therefore, these dynamic markings are used to describe the motion of the bee. Prokofiev also uses accents very often, especially when decrescendos start to occur. However Rimsky-Korsakov uses accents on the first beat of some measures, and they do not follow any dynamic markings. This portrays more sudden, unexpected attacks.
Harmonic progressions are similar in some ways as well.
Both pieces are in the key of A minor, and almost every measure starts out with a 'i' chord. The chords are all determined by the accompaniment, pedal points. This well known work by Rimsky-Korsakov might have influenced Prokofiev when he wrote the Scherzo movement. Many listeners would be able to find similar ties between the two pieces without putting much effort.