Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect

DOI10.1016/j.mbs.2007.02.006zbMath1126.92062OpenAlexW1976373256WikidataQ51913971 ScholiaQ51913971MaRDI QIDQ2466539

Lia Hemerik, Martin P. Boer, Bob W. Kooi, George A. K. Van Voorn

Publication date: 15 January 2008

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2007.02.006

zbMATH Keywords

global bifurcationbistabilityseparatrixdepensationextinction thresholdheteroclinic point-to-point connection

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40)

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Uses Software

• AUTO
• DSTool
• HomCont

Cites Work

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• Point-to-periodic and periodic-to-periodic connections
• Consequences of symbiosis for food web dynamics
• Allee dynamics and the spread of invading organisms
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• Numerical Computation and Continuation of Invariant Manifolds Connecting Fixed Points
• NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
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• Multiple attractors and boundary crises in a tri-trophic food chain

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