Investigations into a class of generalized two-dimensional Lotka-Volterra schemes

DOI10.1007/BF00048801zbMath0738.92023MaRDI QIDQ1177138

György Szabó, Henrik Farkas, András Dancsó, Miklos Farkas

Publication date: 26 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

dissipative systemsautocatalysisscaling transformationlocal analysisconservativestable systemssupercritical Hopf bifurcationexplosivepolynomial dynamical systemsexplicit first integralsgeneralized Lotka-Volterra modeloscillatory \(BZ\)-reactionZip bifurcation

Mathematics Subject Classification ID

Chemistry (92E99) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items

A counterexample to a result on Lotka-Volterra systems ⋮ The center problem for the Lotka reactions with generalized mass-action kinetics ⋮ Local bifurcations of critical periods in a generalized 2D LV system ⋮ On global stability of the Lotka reactions with generalized mass-action kinetics ⋮ Oscillatory behavior in discrete slow power-law models ⋮ Planar S-systems: permanence ⋮ On the period function in a class of generalized Lotka-Volterra systems ⋮ Integrability and singularity structure of predator-prey system

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