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Nutrient-plankton models with nutrient recycling

✍ Scribed by S.R.-J. Jang; J. Baglama

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
804 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, nutrient-phytoplankton-zooplankton interaction with general uptake functions in which nutrient recycling is either instantaneous or delayed is considered. To account for higher predation, zooplankton's death rate is modeled by a quadratic term instead of the usual linear function. Persistence conditions for each of the delayed and nondelayed models are derived. Numerical simulations with data from the existing literature are explored to compare the two models. It is demonstrated numerically that increasing zooplankton death rate can eliminate periodic solutions of the system in both the instantaneous and the delayed nutrient recycling models. However, the delayed nutrient recycling can actually stabilize the nutrient-plankton interaction.

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