Nutrient-plankton models with nutrient recycling

S. R.J. Jang; J. Baglama

doi:10.1016/j.camwa.2004.03.013

Nutrient-plankton models with nutrient recycling

S. R.J. Jang, J. Baglama

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	375-387
Number of pages	13
Journal	Computers and Mathematics with Applications
Volume	49
Issue number	2-3
DOIs	https://doi.org/10.1016/j.camwa.2004.03.013
State	Published - Jan 2005

Keywords

Delayed nutrient recycling
Instantaneous nutrient recycling
Uniform persistence

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title = "Nutrient-plankton models with nutrient recycling",

abstract = "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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AB - 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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