The effect of sexual cannibalism on the evolution of large populations

The notion of sexual cannibalism is introduced in a simple model of population growth derived from the Bernardes model (J. Phys. I 5 (1995) 1501). The effect of sexual cannibalism is studied at the level of a population of individuals. Even in presence of cannibalism, a population can survive and stabilize for a birth rate b> 2. Before reaching a stable situation, the evolution of the (sexual cannibalism) population presents an unexpected pattern which is not present in the non-cannibalism case.