Canard cycles and homoclinic orbit of a Leslie-Gower predator-prey model with Allee effect and Holling type II functional response

DOI10.1007/s12346-024-01059-zzbMath1544.34095MaRDI QIDQ6550197

Zhenshu Wen, Tianyu Shi

Publication date: 4 June 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

homoclinic orbitgeometric singular perturbation theorycanard cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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