Dimorphism by Singularity Theory in a Model for River Ecology

Martin Golubitsky, Wenrui Hao, King Yeung Lam, Yuan Lou

Research output: Contribution to journalArticle

Abstract

Geritz, Gyllenberg, Jacobs, and Parvinen show that two similar species can coexist only if their strategies are in a sector of parameter space near a nondegenerate evolutionarily singular strategy. We show that the dimorphism region can be more general by using the unfolding theory of Wang and Golubitsky near a degenerate evolutionarily singular strategy. Specifically, we use a PDE model of river species as an example of this approach. Our finding shows that the dimorphism region can exhibit various different forms that are strikingly different from previously known results in adaptive dynamics.

Original languageEnglish (US)
Pages (from-to)1051-1069
Number of pages19
JournalBulletin of Mathematical Biology
Volume79
Issue number5
DOIs
StatePublished - May 1 2017

Fingerprint

Singularity Theory
dimorphism
Ecology
Rivers
ecology
rivers
river
Adaptive Dynamics
Unfolding
Parameter Space
Sector
Model
Strategy
parameter

All Science Journal Classification (ASJC) codes

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

Cite this

Golubitsky, Martin ; Hao, Wenrui ; Lam, King Yeung ; Lou, Yuan. / Dimorphism by Singularity Theory in a Model for River Ecology. In: Bulletin of Mathematical Biology. 2017 ; Vol. 79, No. 5. pp. 1051-1069.
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Dimorphism by Singularity Theory in a Model for River Ecology. / Golubitsky, Martin; Hao, Wenrui; Lam, King Yeung; Lou, Yuan.

In: Bulletin of Mathematical Biology, Vol. 79, No. 5, 01.05.2017, p. 1051-1069.

Research output: Contribution to journalArticle

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