Complex behavior of a predator-prey model with discrete genotype

Inspired by the work of Ray et al., we study a model of predator-prey dynam ics that incorporates the effects of a discrete genotype. We thoroughly ana lyze the many features of the model, and show that the system seems to reac h a critical state in the genotype space, with some evidence of self-organi zation. Our results present the effects of natural selection at work in gen otype space. The presence of the discrete genotype seems to make the model more robust to small variations of the main parameters, when compared to th e bare Lotka-Volterra dynamics.