Dynamic saddle-node bifurcation in a class of slow and fast predator-prey models

25 pagesWe study the stability loss delay phenomenon in the dynamic saddle-node 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 preys. As an application, a well-known model considered by Clark will be discussed

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

aeres : ACLInternational audienceWe 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