  In this paper, we study the classical two-predators-one-prey model. The
classical model described by a system of 3 ordinary differential equations can
be reduced to a one-dimensional bimodal map. We prove that this map has at most
two stable periodic orbits. Besides, we describe the structure of bifurcations
of the map. Taking this mechanism into account, one can easily detect parameter
regions where cycles with arbitrary high periods or chaotic attractors with
arbitrary high numbers of bands coexist pairwise.
