Man vs. man, man vs. self, man vs. nature, and man vs. animal are also examples of the types of conflict present in the story.
The first, man vs. man, is the most apparent and obvious conflict in that it presents the primary conflict for the protagonist, that being Rainsford finding himself pitted against his host, General Zaroff, in a fight for his life.
Man vs. self is the personal and internal struggle that Rainsford is experiencing. At the opening of the story, we learn that he finds hunting to be the greatest sport and shows no care for the feelings of his prey as evidenced in his conversations on the ship before he falls off and arrives at Shiptrap Island.
Man vs. nature occurs as he is running through the jungle away from Zaroff. He must use his surroundings to his advantage to save himself from Zaroff's gun.
Finally, man vs. animal is quite specific in that it occurs when he running from Zaroff's dogs. He must use one of his hunting traps to save himself from their menacing jaws.