One of Ralph's external conflicts in Golding's novel Lord of the Flies is trying to get Jack and his group of hunters to realize the importance of maintaining order among the group and maintaining the signal fire. Ralph feels that it's important for the boys to try to somehow keep the semblance of life on land alive on the island by doing things they would normally do at home. For example, the boys should maintain their hygiene and try to keep the camp clean. Also, Ralph feels the priority should be to keep the signal fire going. That is the only way they are ever going to get rescued. However, Jack and his hunters are of the philosophy that the most important endeavor to be worrying about is hunting to provide food for the group. Jack is trying to proliferate this philosophy among the boys, while Ralph is trying to make the boys see things his way. It's a constant struggle for Ralph.
I also believe that Ralph has the internal struggle of trying to stay away from savagery. His actions in Simon's death show he has the ability to become a savage. This internal conflict could be related to the idea of how an individula is impacted when there are no rules or guidelines.