title: The discrete Rosenzweig model.
abstract: Discrete time versions of the Rosenweig predator-prey model are studied by analytic and numerical methods. The interaction of the Hopf bifurcation leading to periodic orbits and the period-doubling bifurcation is investigated. It is shown that for certain choices of the parameters there is stable coexistence of both species together with a local attractor at which the prey is absent.
authors: Lehrstuhl für Biomathematik, Universität Tübingen, West Germany.
authors: K P
authors: KP
authors: Hadeler
authors: I
authors: I
authors: Gerstmann
mesh_terms: D000818:Animals; D004463:Ecology; D008433:Mathematics; D008954:Models, Biological; D011157:Population Dynamics; D011235:Predatory Behavior