Persistent sets via Lyapunov functions

DOI10.1016/0362-546X(79)90037-3zbMath0407.92020OpenAlexW2127163279MaRDI QIDQ4194795

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Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90037-3

zbMATH Keywords

StabilityRandom EnvironmentsLyapunov FunctionsContinuing PerturbationsLotka Volterra ModelPersistent Sets

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Ecology (92D40) General biology and biomathematics (92B05)

Related Items (8)

Remarks on strongly flow-invariant sets ⋮ Hyperbolic invariant tori of a fast-slow system with dynamic bifurcation of multifrequency oscillations ⋮ Global stability of predator-prey interactions ⋮ Time delays in n-species competition – I: Global stability in constant environments ⋮ Global asymptotic stability of non-negative steady states in, model ecosystems—I† ⋮ Global asymptotic stability in Volterra's population systems ⋮ Lyapunov-like solutions for stability problems of the most general stationary Lurie-Postnikov systems ⋮ Lotka-Volterra equations: decomposition, stability, and structure part II: nonequilibrium analysis

Cites Work

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• Stability by Liapunov's direct method. With applications
• Nonvulnerability of ecosystems in unpredictable environments
• Stability of linear systems with uncertain parameters

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