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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3546 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3546 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3546 archive 351 disk0/00/00/35/25 2016-01-15 02:01:09 2021-08-27 17:14:01 2016-01-15 02:01:09 monograph show 2 Rinaldi S. 7286 Muratori S. Kuznetsov Y.A. pub iis_env iis_sys iis_mod prog_sds The classical predator-prey model is considered in this paper with reference to the case of periodically varying parameters. Six elementary seasonality mechanisms are identified and analyzed in detail by means of a continuation technique producing complete bifurcation diagrams. The results show that each elementary mechanism can give rise to multiple attractors and that catastrophic transitions can occur when suitable parameters are slightly changed. Moreover, the two classical routes to chaos, namely, torus destruction and cascade of period doublings, are numerically detected. Since in the case of constant parameters the model cannot have multiple attractors, catastrophes, and chaos, the results support the conjecture that seasons can very easily give rise to complex population dynamics. 1991-10 published WP-91-040 WP-91-040 10 253 public working_paper IIASA, Laxenburg, Austria 24 FALSE info:eu-repo/semantics/book