Random catalytic reaction networks

DOI10.1016/0167-2789(93)90118-KzbMath0767.92001WikidataQ56992237 ScholiaQ56992237MaRDI QIDQ1803772

Walter Fontana, Peter F. Stadler, John H. Miller

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

competitioncorrelationsLotka-Volterra equationsinterconnectednessbinary interactionscyclic transformation pathwaysgeneralization of replicator equationsrandom catalytic reaction networksreplicator sets

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Circuits, networks (94C99) Qualitative theory for ordinary differential equations (34C99) General biology and biomathematics (92B05) Mathematical biology in general (92B99)

Related Items (8)

AGGREGATE DYNAMICS IN AN EVOLUTIONARY NETWORK MODEL ⋮ Nonlinear analogue of the May−Wigner instability transition ⋮ SURVIVAL AND EXTINCTION IN THE REPLICATOR MODEL: DYNAMICS AND STATISTICS ⋮ Evolution of autocatalytic sets in a competitive percolation model ⋮ Topology trivialization transition in random non-gradient autonomous ODEs on a sphere ⋮ Multilevel evolution: Replicators and the evolution of diversity ⋮ Autocatalytic networks with translation ⋮ Autocatalytic recombination systems: a reaction network perspective

Cites Work

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• On the stabilizing effect of predators and competitors on ecological communities
• Complementary replication
• Mutation in autocatalytic reaction networks. An analysis based on perturbation theory
• Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems
• On the occurrence of limit cycles in the Volterra-Lotka equation
• Nonlinear Aspects of Competition Between Three Species

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