Planar S-systems: permanence

DOI10.1016/j.jde.2018.09.016zbMath1430.34063arXiv1805.10101OpenAlexW2963284509WikidataQ129151143 ScholiaQ129151143MaRDI QIDQ1710556

Balázs Boros, Josef Hofbauer

Publication date: 22 January 2019

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

Full work available at URL: https://arxiv.org/abs/1805.10101

zbMATH Keywords

limit cyclesdihedral groupreplicator dynamicsheteroclinic cyclecenter manifoldhomogeneous Lotka-Volterra systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Growth and boundedness of solutions to ordinary differential equations (34C11) Chemical kinetics in thermodynamics and heat transfer (80A30) Invariant manifolds for ordinary differential equations (34C45) Asymptotic properties of solutions to ordinary differential equations (34D05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class ⋮ Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems ⋮ On the Bijectivity of Families of Exponential/Generalized Polynomial Maps ⋮ The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

Cites Work

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• Dynamics of the Selkov oscillator
• A general cooperation theorem for hypercycles
• Investigations into a class of generalized two-dimensional Lotka-Volterra schemes
• The center problem for the Lotka reactions with generalized mass-action kinetics
• On global stability of the Lotka reactions with generalized mass-action kinetics
• Evolutionary Games and Population Dynamics
• Persistence in dynamical systems
• Elements of applied bifurcation theory

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