There are several conflicts in the story. One is man vs. nature, the main character's struggle to survive in the wilderness. He isn't experienced traveling in the Klondike and doesn't take the necessary food and supplies he needs to survive. He also ignores the advice of veteran travelers who tell him never to travel alone when the temperature gets below minus fifty degrees. Our traveler doesn't respect the forces of nature and how cruel it can be.
Another conflict is man vs. death, coming to terms with one's own death. The main character must accept his death and goes through different stages before he can come to terms with it. He berates himself for not listening to the old-timer's advice, then becomes depressed, goes into a panic, and then makes one last attempt to survive. His last act is to "try meeting [it] with dignity", accepting that his death is certain.