Dynamics of coevolutive processes

Two different models for biological evolution that exhibit critical self-organization and punctuated equilibrium are studied with a view to numerically compare two possible types of adaptive dynamics: A species can evolve towards states of increasingly better adaptative abilities via the simple, original Darwinian scenario (evolution in a stationary environment) or in the recently conceived coevolutive fashion. A numerical study of these two types of adaptative dynamics is performed, within the framework of two distinct mathematical models of evolution.