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Delay-driven irregular spatiotemporal patterns in a plankton system
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2013 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 88, no 1, 012713- p.Article in journal (Refereed) Published
Abstract [en]

An inhomogeneous distribution of species density over physical space is a widely observed scenario in plankton systems. Understanding the mechanisms resulting in these spatial patterns is a central topic in plankton ecology. In this paper we explore the impact of time delay on spatiotemporal patterns in a prey-predator plankton system. We find that time delay can trigger the emergence of irregular spatial patterns via a Hopf bifurcation. Moreover, a phase transition from a regular spiral pattern to an irregular one was observed and the latter gradually replaced the former and persisted indefinitely. The characteristic length of the emergent spatial pattern is consistent with the scale of plankton patterns observed in field studies.

Place, publisher, year, edition, pages
2013. Vol. 88, no 1, 012713- p.
Keyword [en]
pattern formation, plankton patterns
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-79424DOI: 10.1103/PhysRevE.88.012713ISI: 000321845900010OAI: oai:DiVA.org:umu-79424DiVA: diva2:645125
Available from: 2013-09-03 Created: 2013-08-19 Last updated: 2017-12-06Bibliographically approved

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Delay-driven irregular spatiotemporal patterns in a plankton system(3681 kB)239 downloads
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Zhang, Lai

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • Other style
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  • de-DE
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