Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III

DOI10.1016/j.jde.2019.04.008zbMath1418.34103OpenAlexW2944012157WikidataQ127944353 ScholiaQ127944353MaRDI QIDQ2420519

Yanyan Li

Publication date: 6 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.04.008

zbMATH Keywords

predator-prey modelslow-fast systemgeometric singular perturbation theoryrelaxation oscillationcanard cycleheteroclinic and homoclinic orbits

Mathematics Subject Classification ID

Population dynamics (general) (92D25) 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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