Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles

From MaRDI portal
Publication:1248610

DOI10.1016/0022-0396(79)90039-1zbMath0384.34029OpenAlexW1986864321WikidataQ57253899 ScholiaQ57253899MaRDI QIDQ1248610

Karl Sigmund, Robert Wolff, Peter Schuster

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90039-1




Related Items (max. 100)

Permanence in Lotka-Volterra equations: Linked prey-predator systemsPersistence for stochastic difference equations: a mini-reviewControl problems with vanishing Lie bracket arising from complete odd circulant evolutionary gamesUniform persistence in multispecies population modelsLyapunov function method for the analysis of dissipative autonomous dynamic processesFull characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systemsRepelling conditions for boundary sets using Lyapunov-like functions. II: Persistence and periodic solutionsRemarks on strongly flow-invariant setsPermanence of sparse catalytic networksPermanence and viabilityThe stability under perturbations of repulsive setsA criterion for permanent coexistence of species, with an application to a two-prey one-predator systemRepelling conditions for boundary sets using Liapunov-like functions. I: Flow-invariance, terminal value problem and weak persistencePermanence and boundedness of solutions of quasi-polynomial systemsOn the evolution of prebiotic enzyme coupled macromolecular systemsPermanence and extinction of a generalized Gause-type predator-prey system with periodic coefficientsPermanence and global stability for competitive Lotka-Volterra diffusion systemsAverage conditions for permanence and extinction in nonautonomous single-species Kolmogorov systemsRobust Permanence for Ecological MapsPersistence despite perturbations for interacting populationsMass action kinetics of selfreplication in flow reactorsFrom Chaos to Permanence Using Control Theory (Research)Robust permanence and impermanence for stochastic replicator dynamicsCoexistence for species sharing a predator.Uniform persistence and global stability of two prey-predator pairs linked by competitionA continuation theorem for the periodic BVP in flow-invariant ENRs with applicationsTheoretical studies on the effects of dispersal corridors on the permanence of discrete predator-prey models in patchy environmentPersistence in fluctuating environments for interacting structured populationsDiffusion-mediated persistence in three-species competition models with heteroclinic cyclesPermanence in polymatrix replicatorsA model of an autocatalytic network formed by error-prone self- replicative speciesPermanence and the dynamics of biological systemsPermanence and global stability for cooperative Lotka-Volterra diffusion systemsThe probability of permanenceComplex dynamics of a catalytic network having faulty replication into error-speciesTwo predators feeding on two prey species: A result on permanenceUniform repellers for processes with applications to periodic differential systemsCriteria for \(C^r\) robust permanenceShaken not stirred: On permanence in ecological communitiesMOLECULAR REPLICATOR DYNAMICSPermanence via invasion graphs: incorporating community assembly into modern coexistence theoryDynamical machinery of a biochemical clockAutocatalytic Networks: An Intimate Relation between Network Topology and DynamicsA permanence theorem for local dynamical systemsAutocatalytic recombination systems: a reaction network perspective



Cites Work


This page was built for publication: Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles