Multiple Limit Cycles for Predator-Prey Models

Hofbauer J & So JWH (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: 21 Jul 2016 08:07
URI: http://pure.iiasa.ac.at/3275

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