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A closed NPZ model with delayed nutrient recycling.
MedLine Citation:
PMID:  23412663     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
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.
Authors:
Matt Kloosterman; Sue Ann Campbell; Francis J Poulin
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2013-2-15
Journal Detail:
Title:  Journal of mathematical biology     Volume:  -     ISSN:  1432-1416     ISO Abbreviation:  J Math Biol     Publication Date:  2013 Feb 
Date Detail:
Created Date:  2013-2-15     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  7502105     Medline TA:  J Math Biol     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Affiliation:
Department of Applied Mathematics, University of Waterloo, Waterloo, ON,  N2L 3G1, Canada, mklooste@uwaterloo.ca.
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