A Universal Bifurcation Diagram for Seasonally Perturbed Predator-Prey Models

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3914 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3914 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3914 archive 351 disk0/00/00/41/45 2016-01-15 02:04:17 2021-08-27 17:14:52 2016-01-15 02:04:17 monograph show 3 Gragnani A. 7287 A Universal Bifurcation Diagram for Seasonally Perturbed Predator-Prey Models pub iis_ecl iis_env iis_mod prog_dyn The bifurcations of a periodically forced predator-prey model (the chemostat model), with a prey feeding on a limiting nutrient, are numerically detected with a continuation technique. Eight bifurcation diagrams are produced (one for each parameter in the model) and shown to be topologically equivalent. These diagrams are also equivalent to those of the most commonly used predator-prey model (the Rosenzweig-McArthur model). Thus, all basic modes of behavior of the two main predator-prey models can be explained by means of a single bifurcation diagram. 1994-08 published WP-94-066 WP-94-066 10 1294 public working_paper IIASA, Laxenburg, Austria 19 FALSE info:eu-repo/semantics/book