paper

Asymptotic behavior of spatially distributed replicator systems

arXiv:1406.5746

Abstract

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.

20 pages, in Russian, an English translation will be available shortly