Multiple Limit Cycles for Predator-Prey Models

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3316 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3316 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3316 archive 351 disk0/00/00/32/75 2016-01-15 01:59:37 2021-08-27 17:13:34 2016-01-15 01:59:37 monograph show 2 Hofbauer J. 1385 So J.W.H. AL0367 Multiple Limit Cycles for Predator-Prey Models pub iis_met iis_mod prog_sds One of the classical objects of study in mathematical ecology in the predator-prey interaction. In particular, the well-known model by Gause exhibits a rich dynamical structure. In this paper, a Gause type predator-prey model with concave prey isocline and (at least) two limit cycles is constructed. This serves as a counterexample to a global stability criterion of Hsu (1978). 1989-09 published WP-89-069 WP-89-069 10 1324 2403 public working_paper IIASA, Laxenburg, Austria 6 FALSE info:eu-repo/semantics/book