Asymptotic behavior of spatially distributed replicator systems
  The question of biological stability (permanence) of a replicator reaction-diffusion system is considered. Sufficient conditions of biological stability are found. It is proved that there are situations when biologically unstable non-distributed replicator system becomes biologically stable in the distributed case. Numerical examples illustrate analytical findings. This manuscript is a continuation of arXiv:1308.5631. 
Alexander S. Bratus, Artem S. Novozhilov, Vladimir P. Posvyanskii
q-bio.PE math.AP