Stochastic instability and Liapunov stability

DOI10.1007/BF00279717zbMath0425.92015OpenAlexW2047250324WikidataQ113908989 ScholiaQ113908989MaRDI QIDQ1135800

J. S. Semura, Shripad D. Tuljapurkar

Publication date: 1979

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00279717

zbMATH Keywords

stochastic modelsecological persistencenonlinear deterministic population modelsweak random perturbations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Stochastic stability in control theory (93E15) Ecology (92D40)

Related Items (1)

Liapunov functions: Geometry and stability

Cites Work

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• A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing
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• Lyapunov theory and perturbation of stable and asymptotically stable systems
• Liapunov functions: Geometry and stability
• ON SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS
• Persistence of Dynamical Systems under Random Perturbations
• The Exit Problem for Randomly Perturbed Dynamical Systems
• The stability of interacting populations

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