Delay-induced instability in a nutrient-phytoplankton system with flow

Chuanjun Dai, Min Zhao, Hengguo Yu, and Yapei Wang
Phys. Rev. E 91, 032929 – Published 31 March 2015

Abstract

In this paper, a nutrient-phytoplankton system described by a couple of advection-diffusion-reaction equations with delay was studied analytically and numerically. The aim of this research was to provide an understanding of the impact of delay on instability. Significantly, delay cannot only induce instability, but can also promote the formation of spatial pattern via a Turing-like instability. In addition, the theoretical analysis indicates that the flow (advection term) may lead to instability when the delay term exists. By comparison, diffusion cannot result in Turing instability when flow does not exist. Results of numerical simulation were consistent with the analytical results.

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  • Received 27 October 2014

DOI:https://doi.org/10.1103/PhysRevE.91.032929

©2015 American Physical Society

Authors & Affiliations

Chuanjun Dai1,2,3, Min Zhao1,2,*, Hengguo Yu1, and Yapei Wang1

  • 1Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China
  • 2School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China
  • 3Alkali Soil Natural Environmental Science Center, Northeast Forestry University, Key Laboratory of Saline-Alkali Vegetation Ecology Restoration in Oil Field, Ministry of Education, Harbin, Heilongjiang 150040, China

  • *zmcn@tom.com

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Vol. 91, Iss. 3 — March 2015

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