Survival in the replicator model: Dynamics and statistics
  We study the multi-species replicator model with linear fitness and random fitness matrices of various classes. By means of numerical resolution of the replicator equations, we determine the survival probability of a species in terms of its average interaction with the rest of the system. The role of the interaction pattern of the ecosystem in defining survival and extinction probabilities is emphasized. 
Sebastian Bouzat and Damian Zanette (CONICET, Centro Atomico Bariloche   e Instituto Balseiro, Argentina)