Literature DB >> 2134514

Multiple limit cycles for predator-prey models.

J Hofbauer1, J W So.   

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)].

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Year:  1990        PMID: 2134514     DOI: 10.1016/0025-5564(90)90139-p

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  1 in total

1.  Sensitivity of the dynamics of the general Rosenzweig-MacArthur model to the mathematical form of the functional response: a bifurcation theory approach.

Authors:  Gunog Seo; Gail S K Wolkowicz
Journal:  J Math Biol       Date:  2018-01-06       Impact factor: 2.259

  1 in total

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