A dynamical approach to phytoplankton blooms

Christopher K R T Jones, Bevin Maultsby

Research output: Research - peer-reviewArticle

Abstract

Algae in the ocean absorb carbon dioxide from the atmosphere and thus play an important role in the carbon cycle. An algal bloom occurs when there is a rapid increase in an algae population. We consider a reaction-advection-diffusion model for algal bloom density and present new proofs of existence and uniqueness results for the steady state solutions using techniques from dynamical systems. On the question of stability of the bloom profiles, we show that the only possible bifurcation would be due to an oscillatory instability.

LanguageEnglish (US)
Pages859-878
Number of pages20
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume37
Issue number2
DOIs
StatePublished - Feb 1 2017

Fingerprint

Algae
Phytoplankton
Advection-diffusion
Existence and Uniqueness Results
Diffusion Model
Steady-state Solution
Carbon Dioxide
Ocean
Atmosphere
Carbon
Bifurcation
Dynamical system
Cycle
Profile
Advection
Carbon dioxide
Dynamical systems

Keywords

  • Existence and uniqueness
  • Non-local
  • Phase space
  • Phytoplankton
  • Reaction-diffusion-advection

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

A dynamical approach to phytoplankton blooms. / Jones, Christopher K R T; Maultsby, Bevin.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 37, No. 2, 01.02.2017, p. 859-878.

Research output: Research - peer-reviewArticle

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