What are the conflicts? I mean in a literally and figuratively, apart from the human inner beast in Lord of the Flies.
The external conflicts are centered around the physical condition of the boys, their need for food and shelter as well as their ideas about the best way to move forward and to be rescued. Jack and Ralph are struggling for the allegiance of the boys in a more internal conflict.
The external one is marked by the hunger of the boys, the sickness they get from just eating berries and the physical play and eventually power that Jack provides to them as hunters. Their hunger is more readily met by the meat from the boars and their desire for that warmth instead of the warmth of a more civilized environment and more order eventually wins out.
Ralph and Jack's conflict can be seen as an internal struggle for power and for two different political systems, one more democratic and the other authoritarian.
There is lots of inner conflict in ralph, as he is the upholder of modern and civlilised thinking, but there are bits in the novel where he forgets about this. For instance, in one of his speeches he says 'it must be fun being a savage'. This shows that there is part of Ralph that want to be savage, and in fact, when he helps to kill Simon he is savage.