The discrete Rosenzweig model
- PMID: 2134498
- DOI: 10.1016/0025-5564(90)90011-m
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.
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