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Stability and the limit behavior of the open distributed hypercycle system

Stability and the limit behavior of the open distributed hypercycle system We study an open model of hypercyclic replication taking into account the spatial distribution of macromolecules under the action of homogeneous diffusion processes. The aim of our paper is to analyze the limit behavior dynamics and the stability of stationary solutions for the distributed hypercycle system as well as for the autocatalytic replication system, which arises in the problem on the natural selection in a set of competing hypercycles in the course of evolution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Stability and the limit behavior of the open distributed hypercycle system

Differential Equations , Volume 45 (11) – Dec 23, 2009

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266109110024
Publisher site
See Article on Publisher Site

Abstract

We study an open model of hypercyclic replication taking into account the spatial distribution of macromolecules under the action of homogeneous diffusion processes. The aim of our paper is to analyze the limit behavior dynamics and the stability of stationary solutions for the distributed hypercycle system as well as for the autocatalytic replication system, which arises in the problem on the natural selection in a set of competing hypercycles in the course of evolution.

Journal

Differential EquationsSpringer Journals

Published: Dec 23, 2009

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