Predator–prey systems with small predator's death rate

DOI10.14232/EJQTDE.2018.1.86zbMath1413.34168OpenAlexW2898492458WikidataQ115515032 ScholiaQ115515032MaRDI QIDQ4615238

Renato Huzak

Publication date: 1 February 2019

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

Full work available at URL: https://doi.org/10.14232/ejqtde.2018.1.86

zbMATH Keywords

predator-prey systemsslow-fast systemsslow-divergence integral

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) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

Related Items (6)

Relaxation oscillations in predator-prey systems ⋮ A criterion for the existence of relaxation oscillations with applications to predator-prey systems and an epidemic model ⋮ Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting ⋮ Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems ⋮ The number of limit cycles for regularized piecewise polynomial systems is unbounded ⋮ Cyclicity of canard cycles with hyperbolic saddles located away from the critical curve

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