Stability and the limit behavior of the open distributed hypercycle system

DOI10.1134/S0012266109110024zbMath1186.35225OpenAlexW2043532966MaRDI QIDQ2655899

E. N. Lukasheva, Alexander S. Bratus'

Publication date: 27 January 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266109110024

zbMATH Keywords

stabilityhypercyclic replicationDNA macromoleculeslimit behavior dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Protein sequences, DNA sequences (92D20) Biomechanics (92C10)

Related Items (2)

On a hypercycle equation with infinitely many members ⋮ Open quasispecies models: stability, optimization, and distributed extension

Cites Work

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• Spatial stability analysis of Eigen's quasispecies model and the less than five membered hypercycle under global population regulation
• Geometric theory of semilinear parabolic equations
• On the existence of an asymptotically large number of stable dissipative patterns in parabolic systems with small diffusion
• Spatial gradients enhance persistence of hypercycles
• 3D hypercycles have no stable spatial structure
• Stationary solutions in a closed distributed Eigen-Schuster evolution system
• BIFURCATION OF INVARIANT TORI OF PARABOLIC SYSTEMS WITH SMALL DIFFUSION
• Evolutionary Games and Population Dynamics

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