Abstract
An age-structured discrete-time population model is developed that includes sex-dependent survival and fertility rates. Polygamous as well as monogamous mating systems are considered. If adult survival rates are sex independent, it is shown that optimum species growth is attained when the sex ratio at maturity balances the degree of polygamy of the species. Furthermore, if a positive equilibrium occurs when growth rates are density dependent, then stability criteria are established using either Perron-Frobenius theory for non-negative Leslie-like matrices or the Gershgorin Disc Theorem in more general settings.
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