Asymptotic behavior of spatially distributed replicator systems
Populations and Evolution
2014-06-24 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1406.5746,
title = {Asymptotic behavior of spatially distributed replicator systems},
author = {Alexander S. Bratus and Artem S. Novozhilov and Vladimir P. Posvyanskii},
journal= {arXiv preprint arXiv:1406.5746},
year = {2014}
}
Comments
20 pages, in Russian, an English translation will be available shortly