eprintid: 4145 rev_number: 21 eprint_status: archive userid: 351 dir: disk0/00/00/41/45 datestamp: 2016-01-15 02:04:17 lastmod: 2021-08-27 17:14:52 status_changed: 2016-01-15 02:04:17 type: monograph metadata_visibility: show item_issues_count: 3 creators_name: Gragnani, A. creators_id: 7287 title: A Universal Bifurcation Diagram for Seasonally Perturbed Predator-Prey Models ispublished: pub internal_subjects: iis_ecl internal_subjects: iis_env internal_subjects: iis_mod divisions: prog_dyn abstract: 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. date: 1994-08 date_type: published publisher: WP-94-066 iiasapubid: WP-94-066 price: 10 creators_browse_id: 1294 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 19 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Gragnani, A. (1994). A Universal Bifurcation Diagram for Seasonally Perturbed Predator-Prey Models. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-94-066 document_url: https://pure.iiasa.ac.at/id/eprint/4145/1/WP-94-066.pdf