The stability under perturbations of repulsive sets

DOI10.1016/0022-0396(88)90064-2zbMath0664.34058OpenAlexW1991007781MaRDI QIDQ1114842

S. H. Smith

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90064-2

zbMATH Keywords

permanenceaverage Lyapunov functionrepulsivity

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (14)

Integral inequalities of Hermite-Hadamard type for exponentially subadditive functions ⋮ Hermite-Hadamard type inequalities for subadditive functions ⋮ Persistence for stochastic difference equations: a mini-review ⋮ Robust permanence for ecological equations with internal and external feedbacks ⋮ On growth rates of sub-additive functions for semi-flows: determined and random cases ⋮ On the fine structure of the global attractor of a uniformly persistent flow ⋮ Persistence despite perturbations for interacting populations ⋮ Coexistence for species sharing a predator. ⋮ Uniform persistence and Hopf bifurcations in \(\mathbb R_+^n\) ⋮ Robust permanence for interacting structured populations ⋮ Permanence and the dynamics of biological systems ⋮ The probability of permanence ⋮ On growth rates of subadditive functions for semiflows ⋮ Criteria for \(C^r\) robust permanence

Cites Work

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• Effects of noise on some dynamical models in ecology
• Contributions to stability theory
• A theorem on average Liapunov functions
• A general cooperation theorem for hypercycles
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles
• The concept of repulsivity in dynamical systems as motivated by persistence problems in population biology
• Uniformly Persistent Systems
• Stability theory of dynamical systems.

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