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Homoclinic Solutions in Bazykin’s Predator-Prey Model

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Publication:5133388
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DOI10.5890/DNC.2020.09.001zbMath1457.34072OpenAlexW3034918084WikidataQ113195277 ScholiaQ113195277MaRDI QIDQ5133388

Bashir Al-Hdaibat

Publication date: 12 November 2020

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2020.09.001

zbMATH Keywords

homoclinic bifurcationBogdanov-Takens bifurcationBazykin's model


Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items

On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system


Uses Software

  • Maple


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