Singular perturbations of the Holling I predator-prey system with a focus

DOI10.1016/j.jde.2020.04.011zbMath1457.34085OpenAlexW3016430453MaRDI QIDQ2184718

André Zegeling, Robert E. Kooij

Publication date: 29 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.jde.2020.04.011

zbMATH Keywords

singular perturbationlimit cyclesLiénard formgeneralized Gause modelHolling type I functional response

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15)

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