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

Hafida Boudjellaba 1 Tewfik Sari 2, 3
2 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
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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Journal of Differencial Equations, Elsevier, 2009, 46 (6), pp.2205-2225. 〈10.1016/j.jde.2009.01.001〉
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Soumis le : jeudi 5 septembre 2013 - 15:36:11
Dernière modification le : samedi 27 janvier 2018 - 01:31:24

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Hafida Boudjellaba, Tewfik Sari. Dynamic transcritical bifurcations in a class of slow-fast predator-prey models. Journal of Differencial Equations, Elsevier, 2009, 46 (6), pp.2205-2225. 〈10.1016/j.jde.2009.01.001〉. 〈hal-00858536〉

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