  We perform individual-based Monte Carlo simulations in a community consisting
of two predator species competing for a single prey species, with the purpose
of studying biodiversity stabilization in this simple model system. Predators
are characterized with predation efficiency and death rates, to which Darwinian
evolutionary adaptation is introduced. Competition for limited prey abundance
drives the populations' optimization with respect to predation efficiency and
death rates. We study the influence of various ecological elements on the final
state, finding that both indirect competition and evolutionary adaptation are
insufficient to yield a stable ecosystem. However, stable three-species
coexistence is observed when direct interaction between the two predator
species is implemented.
