Chaotic coexistence in a top-predator mediated competitive exclusive web

DOI10.1007/s10884-004-7833-9zbMath1068.34045OpenAlexW2004949136WikidataQ115603977 ScholiaQ115603977MaRDI QIDQ1763025

Brian Bockelman, Elizabeth Green, Bo Deng, Leslie Lippitt, Jason Sherman, Gwendolen Hines

Publication date: 18 February 2005

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

Full work available at URL: https://doi.org/10.1007/s10884-004-7833-9

zbMATH Keywords

predator-prey modelchaotic coexistencesymbolic shift map

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Singular perturbations for ordinary differential equations (34E15)

Related Items (6)

Nilpotent singularities and chaos: tritrophic food chains ⋮ On the bifurcation analysis of a food web of four species ⋮ Complex oscillatory dynamics in a three-timescale El Niño southern oscillation model ⋮ Continuous model for the rock-scissors-paper game between bacteriocin producing bacteria ⋮ Competitive coexistence in stoichiometric chaos ⋮ CHAOTIC COEXISTENCE IN A RESOURCE–CONSUMER MODEL

Cites Work

• Competition and stoichiometry: coexistence of two predators on one prey
• Persistent unstable equilibria and closed orbits of a singularly perturbed equation
• Singular perturbation of relaxed periodic orbits
• Geometric singular perturbation theory for ordinary differential equations
• Glucose-induced period-doubling cascade in the electrical activity of pancreatic \(\beta\)-cells
• Relaxation oscillations in a class of predator-prey systems.
• Food chain chaos due to junction-fold point
• Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems
• Relaxation oscillations including a standard chase on French ducks
• Food chain chaos due to Shilnikov’s orbit
• Food chain chaos due to transcritical point

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