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Hofbauer, J. & So, J.W.H. (1989). Multiple Limit Cycles for Predator-Prey Models. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-89-069
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Abstract
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).
| Item Type: | Monograph (IIASA Working Paper) |
|---|---|
| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 01:59 |
| Last Modified: | 27 Aug 2021 17:13 |
| URI: | https://pure.iiasa.ac.at/3275 |
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