Global behavior of \(n\)-dimensional Lotka-Volterra systems

DOI10.1016/0025-5564(93)90003-SzbMath0782.92021OpenAlexW2055185586WikidataQ52401769 ScholiaQ52401769MaRDI QIDQ1802921

Jean-Luc Gouzé

Publication date: 29 June 1993

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(93)90003-s

zbMATH Keywords

positivityLotka-Volterra systemscompact setsymmetric matrixequilibriaauxiliary functionspositive orthantdecomposition of the interaction matrixoff-diagonal nonnegative matrix

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Ecology (92D40)

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Irreversible prey diapause as an optimal strategy of a physiologically extended Lotka-Volterra model, Z-type control of populations for Lotka-Volterra model with exponential convergence, Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles

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