On the Role of Body Size in a Tri-Trophic Metapopulation Model

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4073 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4073 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4073 archive 351 disk0/00/00/45/24 2016-01-15 02:06:06 2021-08-27 17:15:17 2016-01-15 02:06:06 monograph show 2 Rinaldi S. 7286 Dal Bo S. De Nittis E. On the Role of Body Size in a Tri-Trophic Metapopulation Model pub iis_ecl iis_env iis_sys prog_dyn 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. 1995-07 published WP-95-072 WP-95-072 10 253 public working_paper IIASA, Laxenburg, Austria 21 FALSE info:eu-repo/semantics/book