Competitive exclusion in phytoplankton communities in a eutrophic water column

Robert Stephen Cantrell, King Yeung Lam

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We analyze a reaction-diffusion system modeling the competition of multiple phytoplankton species which are limited only by light. While the dynamics of a single species has been well studied, the dynamics of the two- species model has only begun to be understood with the recent establishment of a comparison principle. In this paper, we show that the competition of N similar phytoplankton species, for any number N, generically leads to compet- itive exclusion. The main tool is the theory of a normalized principal bundle for linear parabolic equations.

Original languageEnglish (US)
Pages (from-to)1783-1795
Number of pages13
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number4
StatePublished - Apr 2021


  • As- ymptotic behavior
  • Competition
  • Multiple species
  • Nonlocal reaction-diffusion systems
  • Phytoplankton

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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