Canard Cycles and Relaxation Oscillations in a Singularly Perturbed Leslie–Gower Predator–Prey Model with Allee Effect
DOI10.1142/S0218127422500717zbMath1497.34074OpenAlexW4224444000WikidataQ114072980 ScholiaQ114072980MaRDI QIDQ5072444
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Publication date: 28 April 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127422500717
predator-prey modelgeometric singular perturbation theoryAllee effectrelaxation oscillationCanard cycle
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)
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