The discrete Rosenzweig model.

K P Hadeler; I Gerstmann

doi:10.1016/0025-5564(90)90011-m

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The discrete Rosenzweig model.

K P Hadeler·I Gerstmann

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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.

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K P Hadeler, I Gerstmann. 1990. The discrete Rosenzweig model.. https://doi.org/10.1016/0025-5564(90)90011-m

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