Analysis of the complicated dynamics of some harvesting models

DOI10.1007/BF00276197zbMath0662.92016OpenAlexW1966811453WikidataQ52614545 ScholiaQ52614545MaRDI QIDQ1114626

Helena E. Nusse, Kenneth L. Cooke

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00276197

zbMATH Keywords

Schwarzian derivativechaotic dynamicsstructural stabilitycounterexamplesdense orbitAllee effectaperiodic pointsthreshold valueinvariant compact setsasymptotically periodic behaviordiscrete harvesting modelspersistence of regularity in chaosSmale's Axiom A propertytwo- parameter harvesting model

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Population dynamics (general) (92D25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

A paradox in discrete single species population dynamics with harvesting/thinning

Cites Work

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• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Period Three Implies Chaos
• Stable Orbits and Bifurcation of Maps of the Interval
• Simple mathematical models with very complicated dynamics
• Differentiable dynamical systems

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