This is an important episode because we learn a lot more about Dr Zoidberg's background! There is a mating period when he must go back to his home planet and well......find a mate!
As it turns out The female he likes, like Fry and Zoidberg chose Fry to give him advice on women.
Then Zoidberg and Fry must fight to the death (thats what happens when two males like the same woman on zoidbergs planet)
Of course neither of them die (that would be ridiculous, and Zoidberg doesn't find a mate in time, but he doesn't die like the rest of his species!