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 hypercycl...

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Veröffentlicht in:	Differential equations 2009-11, Vol.45 (11), p.1564-1576
Hauptverfasser:	Bratus’, A. S., Lukasheva, E. N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Difference and Functional Equations Dynamical systems Equilibrium Evolution Mathematical models Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
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Zusammenfassung:	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.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266109110024