On the bifurcation analysis of a food web of four species

DOI10.1016/j.amc.2009.10.016zbMath1180.92092OpenAlexW2089294106WikidataQ114683065 ScholiaQ114683065MaRDI QIDQ846424

Hsiu-Chuan Wei

Publication date: 9 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.016

zbMATH Keywords

chaosnumerical simulationsbifurcation analysisprey-predatorfood web

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• Elements of applied bifurcation theory.
• Computation of Lyapunov characteristic exponents for continuous dynamical systems
• Rich dynamics of a ratio-dependent one-prey two-predators model
• Chaotic coexistence in a top-predator mediated competitive exclusive web
• Stability analysis of equilibrium manifolds for a two-predators one-prey model
• Equilibriumizing all food chain chaos through reproductive efficiency
• FOOD WEB CHAOS WITHOUT SUBCHAIN OSCILLATORS

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