| A closed NPZ model with delayed nutrient recycling. | |
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MedLine Citation:
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PMID: 23412663 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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We consider a closed Nutrient-Phytoplankton-Zooplankton (NPZ) model that allows for a delay in the nutrient recycling. A delay-dependent conservation law allows us to quantify the total biomass in the system. With this, we can investigate how a planktonic ecosystem is affected by the quantity of biomass it contains and by the properties of the delay distribution. The quantity of biomass and the length of the delay play a significant role in determining the existence of equilibrium solutions, since a sufficiently small amount of biomass or a long enough delay can lead to the extinction of a species. Furthermore, the quantity of biomass and length of delay are important since a small change in either can change the stability of an equilibrium solution. We explore these effects for a variety of delay distributions using both analytical and numerical techniques, and verify these results with simulations. |
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Authors:
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Matt Kloosterman; Sue Ann Campbell; Francis J Poulin |
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Publication Detail:
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Type: JOURNAL ARTICLE Date: 2013-2-15 |
Journal Detail:
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Title: Journal of mathematical biology Volume: - ISSN: 1432-1416 ISO Abbreviation: J Math Biol Publication Date: 2013 Feb |
Date Detail:
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Created Date: 2013-2-15 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7502105 Medline TA: J Math Biol Country: - |
Other Details:
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Languages: ENG Pagination: - Citation Subset: - |
Affiliation:
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Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada, mklooste@uwaterloo.ca. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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