Multiple limit cycles for predator-prey models.
We construct a Gause-type predator-prey model with concave prey isocline and (at least) two limit cycles. This serves as a counter-example to the global stability criterion of Hsu [Math. Biosci. 39:1-10 (1978)].
Hofbauer
J
J
Institut für Mathematik, Universität Wien, Vienna, Austria.
So
J W
JW
D000818:Animals; D004463:Ecology; D008433:Mathematics; D008954:Models, Biological; D011235:Predatory Behavior