eprintid: 4524 rev_number: 20 eprint_status: archive userid: 351 dir: disk0/00/00/45/24 datestamp: 2016-01-15 02:06:06 lastmod: 2021-08-27 17:15:17 status_changed: 2016-01-15 02:06:06 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Rinaldi, S. creators_name: Dal Bo, S. creators_name: De Nittis, E. creators_id: 7286 title: On the Role of Body Size in a Tri-Trophic Metapopulation Model ispublished: pub internal_subjects: iis_ecl internal_subjects: iis_env internal_subjects: iis_sys divisions: prog_dyn abstract: A particular tri-trophic (resource, prey, predator) metapopulation model with dispersal of preys and predators is considered in this paper. The analysis is carried out numerically, by finding the bifurcations of the equilibria and of the limit cycles with respect to prey and predator body sizes. Two routes to chaos are identified. One is characterized by an intriguing cascade of flip and tangent bifurcations of limit cycles, while the other corresponds to the crisis of a strange attractor. The results are summarized by partitioning the space of body sizes in eight subregions, each one of which is associated to a different asymptotic behavior of the system. Emphasis is put on the possibility of having different modes of coexistence (stationary, cyclic, and chaotic) and/or extinction of the predator population. date: 1995-07 date_type: published publisher: WP-95-072 iiasapubid: WP-95-072 price: 10 creators_browse_id: 253 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 21 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Rinaldi, S. , Dal Bo, S., & De Nittis, E. (1995). On the Role of Body Size in a Tri-Trophic Metapopulation Model. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-95-072 document_url: https://pure.iiasa.ac.at/id/eprint/4524/1/WP-95-072.pdf