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The structure of LaSalle's invariant set for Lotka-Volterra systems

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Publication:1180023
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zbMath0743.34055MaRDI QIDQ1180023

Li Liu, Zhengyi Lu, Dongming Wang

Publication date: 27 June 1992

Published in: Science in China. Series A (Search for Journal in Brave)


zbMATH Keywords

globally stableLaSalle invariant setLaSalle's invariant principlelocally asymptotically stable equilibrium pointLotka-Volterra food chain system


Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Stability of manifolds of solutions to ordinary differential equations (34D35)


Related Items (5)

Global stability conditions for three-dimensional Lotka-Volterra systems ⋮ The LaSalle's invariant sets for a class of Lotka-Volterra prey-predator chain systems ⋮ Computer aided proof for the global stability of Lotka-Volterra systems ⋮ Positive quasi-periodic solutions to Lotka-Volterra system ⋮ Symbolic computation for the qualitative theory of differential equations







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