On diffusive stability of Eigen's quasispecies model
Populations and Evolution
2013-12-31 v2
Abstract
Eigen's quasispecies system with explicit space and global regulation is considered. Limit behavior and stability of the system in a functional space under perturbations of a diffusion matrix with nonnegative spectrum are investigated. It is proven that if the diffusion matrix has only positive eigenvalues then the solutions of the distributed system converge to the equilibrium solution of the corresponding local dynamical system. These results imply that the error threshold does not change if the spatial interactions under the principle of global regulation are taken into account.
Cite
@article{arxiv.1212.1488,
title = {On diffusive stability of Eigen's quasispecies model},
author = {Alexander S. Bratus and Chin-Kun Hu and Mikhail V. Safro and Artem S. Novozhilov},
journal= {arXiv preprint arXiv:1212.1488},
year = {2013}
}
Comments
16 pages, 1 figure, several typos are fixed