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