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

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2009 English Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 246, pages 2,205-2,225 (issn: 0022-0396, Copyright policy )Funded by:NSERC | unidentified
Authors: Boudjellaba, Hafida; Sari, Tewfik;

doi: 10.1016/j.jde.2009.01.001

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

Abstract

We study the stability loss delay phenomenon in a dynamic transcritical bifurcation in a class of three-dimensional prey and predator systems. The dynamics of the predator is assumed to be slow comparatively to the dynamics of the prey. As an application, a well-known model considered by Clark will be discussed.

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Keywords

[INFO.INFO-OH] Computer Science [cs]/Other [cs.OH], ASYMPTOTIC STABILITY DELAYED LOSS OF STABILITY SINGULAR PERTURBATIONS CANARDS BIOLOGICAL MODELS ECOLOGIE BIOLOGIE DES POPULATIONS STABILITE ASYMPTOTIQUE, [INFO.INFO-OH]Computer Science [cs]/Other [cs.OH], Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Average
hybrid
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