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A difference equation model of a single climax §species with two age classes (juvenile and adult) is §studied. In a single species climax population model §with no age structure, high population densities §lead to extinction. Studies of discrete-time models §of climax species with age structure is developing §in the literature. In this monograph, it is shown §that age structure makes it possible for a density §that has extinction as its ultimate life history to §have persistence as its ultimate fate with juvenile-§adult competition. This suggests that juvenile-adult §competition may be critical to species survival. §Finally, the results of the analysis are also §applied to popluation data of the purse-seine §anchovy fish, Engraluis capensis, that is located §off the West Cape coast of South Africa. While the §phenonmena of intraspecific competition and age §structure are not newly observed phenonmena, the §study of this phenomena in climax models is §developing.