Multiple limit cycles for predator-prey models

J Hofbauer; J W So

doi:10.1016/0025-5564(90)90139-p

Multiple limit cycles for predator-prey models

Math Biosci. 1990 Apr;99(1):71-5. doi: 10.1016/0025-5564(90)90139-p.

Authors

J Hofbauer¹, J W So

Affiliation

¹ Institut für Mathematik, Universität Wien, Vienna, Austria.

PMID: 2134514
DOI: 10.1016/0025-5564(90)90139-p

Abstract

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)].

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Animals
Ecology
Mathematics
Models, Biological
Predatory Behavior*