Dynamic transcritical bifurcations in a class of slow-fast predator-prey models

DOI10.1016/j.jde.2009.01.001zbMath1284.34096OpenAlexW2080114396MaRDI QIDQ1011467

Tewfik Sari, Hafida Boudjellaba

Publication date: 8 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.01.001

zbMATH Keywords

asymptotic stabilitysingular perturbationsbiological modelscanardsdelayed loss of stability

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items

Stability and oscillations in a slow-fast flexible joint system with transformation delay, Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems, A general view on double limits in differential equations, A mathematical model on fractional Lotka-Volterra equations, Stable biased sampling, Local Theory for Spatio-Temporal Canards and Delayed Bifurcations, Delayed stability switches in singularly perturbed predator-prey models, On slow-fast dynamics in a classical predator-prey system, Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions, Randomly switching evolution equations, Extended and Symmetric Loss of Stability for Canards in Planar Fast-Slow Maps

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