Literature DB >> 15293015

Intermingled basins in a two species system.

Franz Hofbauer1, Josef Hofbauer, Peter Raith, Thomas Steinberger.   

Abstract

We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.

Mesh：

Year:  2004        PMID： 15293015     DOI： 10.1007/s00285-003-0253-3

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


  4 in total

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Authors:  S D Mylius; O Diekmann
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2.  Fundamental unpredictability in multispecies competition.

Authors:  J Huisman; F J Weissing
Journal:  Am Nat       Date:  2001-05       Impact factor: 3.926

3.  Some remarks on animal population dynamics.

Authors:  P A P MORAN
Journal:  Biometrics       Date:  1950-09       Impact factor: 2.571

4.  A simple population model with qualitatively uncertain dynamics

Authors: 
Journal:  J Theor Biol       Date:  1997-12-21       Impact factor: 2.691
  4 in total
  2 in total

1.  Permanence via invasion graphs: incorporating community assembly into modern coexistence theory.

Authors:  Josef Hofbauer; Sebastian J Schreiber
Journal:  J Math Biol       Date:  2022-10-18       Impact factor: 2.164

2.  The winner takes it all: how semelparous insects can become periodical.

Authors:  Odo Diekmann; Robert Planqué
Journal:  J Math Biol       Date:  2019-04-27       Impact factor: 2.259
  2 in total

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