Spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton

Subhendu Chakraborty, P. K. Tiwari, A. K. Misra, J. Chattopadhyay

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Abstract

The production of toxins by some species of phytoplankton is known to have several economic, ecological, and human health impacts. However, the role of toxins on the spatial distribution of phytoplankton is not well understood. In the present study, the spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton is investigated. We analyze the linear stability of the system and obtain the condition for Turing instability. In the presence of toxic effect, we find that the distribution of nutrient and phytoplankton becomes inhomogeneous in space and results in different patterns, like stripes, spots, and the mixture of them depending on the toxicity level. We also observe that the distribution of nutrient and phytoplankton shows spatiotemporal oscillation for certain toxicity level. (C) 2015 Elsevier Inc. All rights reserved.
Original languageEnglish
JournalMathematical Biosciences
Volume264
Pages (from-to)94-100
Number of pages7
ISSN0025-5564
DOIs
Publication statusPublished - 2015

Keywords

  • BIOLOGY
  • MATHEMATICAL
  • MATHEMATICAL-MODEL
  • PATTERN-FORMATION
  • MINIMAL MODEL
  • PLANKTON
  • ZOOPLANKTON
  • BLOOMS
  • COMPETITION
  • PATCHINESS
  • FISH
  • Nutrient-phytoplankton model
  • Reaction-diffusion
  • Toxin
  • Turing instability
  • Pattern formation
  • Nutrient–phytoplankton model
  • Reaction–diffusion

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