Dynamics of small autocatalytic reaction networks. II: Replication, mutation and catalysis

DOI10.1007/BF02458315zbMath0813.92014arXivchao-dyn/9410001OpenAlexW3124135978WikidataQ56992137 ScholiaQ56992137MaRDI QIDQ1343379

Wolfgang Schnabl, Peter F. Stadler, Christian V. Forst, Peter Schuster

Publication date: 28 May 1995

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9410001

zbMATH Keywords

bifurcationsautocatalytic reaction networkserror thresholdsreplication-mutation differential equations

Mathematics Subject Classification ID

Problems related to evolution (92D15) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Population dynamics (general) (92D25)

Related Items (10)

The influence of mutation on autocatalytic reaction networks ⋮ Explicit form of the inverse matrices of tribonacci circulant type matrices ⋮ Autocatalytic networks with intermediates. I: Irreversible reactions ⋮ Error thresholds for self- and cross-specific enzymatic replication ⋮ Complementary replication ⋮ Mutation in autocatalytic reaction networks. An analysis based on perturbation theory ⋮ Autocatalytic networks with translation ⋮ MOLECULAR REPLICATOR DYNAMICS ⋮ Statics and dynamics of multiple cubic autocatalytic reactions ⋮ Strictly dominated strategies in the replicator-mutator dynamics

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• Stable Polymorphisms in a Selection Model with Mutation
• On the occurrence of limit cycles in the Volterra-Lotka equation

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