Predator foraging facilitation influence on the dynamics of a predator–prey system. In the paper we analyze a modified Rosenzweig–MacArthur model, where a predator-dependent family of functions describing predator foraging facilitation is introduced into the Holling type II functional response. We describe all the nonlinear phenomena that occur in the system provoked by foraging facilitation (fold, Hopf, transcritial, homoclinic and Bogdanov–Takens bifurcation).