Plankton-toxin interaction with a variable input nutrient

Sophia R.J. Jang; James Baglama; Johannes Rick

doi:10.1080/17513750801942511

Plankton-toxin interaction with a variable input nutrient

Sophia R.J. Jang, James Baglama, Johannes Rick

Mathematics and Statistics

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

4 Scopus citations

Abstract

A simple model of phytoplankton–zooplankton interaction with a periodic input nutrient is presented. The model is then used to study a nutrient–plankton interaction with a toxic substance that inhibits the growth rate of plankton populations. The effects of the toxin upon the existence, magnitude, and stability of the periodic solutions are discussed. Numerical simulations are also provided to illustrate analytical results and to compare more complicated dynamical behaviour.

Original language	English
Pages (from-to)	14-30
Number of pages	17
Journal	Journal of Biological Dynamics
Volume	2
Issue number	1
DOIs	https://doi.org/10.1080/17513750801942511
State	Published - Jan 2008

Keywords

Phytoplankton
Poincaré map
Toxin
Uniform persistence
Zooplankton

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10.1080/17513750801942511

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title = "Plankton-toxin interaction with a variable input nutrient",

abstract = "A simple model of phytoplankton–zooplankton interaction with a periodic input nutrient is presented. The model is then used to study a nutrient–plankton interaction with a toxic substance that inhibits the growth rate of plankton populations. The effects of the toxin upon the existence, magnitude, and stability of the periodic solutions are discussed. Numerical simulations are also provided to illustrate analytical results and to compare more complicated dynamical behaviour.",

keywords = "Phytoplankton, Poincar{\'e} map, Toxin, Uniform persistence, Zooplankton",

author = "Jang, {Sophia R.J.} and James Baglama and Johannes Rick",

note = "Funding Information: We would like to thank Professor Jim Cushing for his valuable suggestions, as well as the referees for their comments. S. Jang was partially supported by a Board of Regents Support Fund LEQSF (2004–2007)-RD-A-32.",

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AU - Baglama, James

AU - Rick, Johannes

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N2 - A simple model of phytoplankton–zooplankton interaction with a periodic input nutrient is presented. The model is then used to study a nutrient–plankton interaction with a toxic substance that inhibits the growth rate of plankton populations. The effects of the toxin upon the existence, magnitude, and stability of the periodic solutions are discussed. Numerical simulations are also provided to illustrate analytical results and to compare more complicated dynamical behaviour.

AB - A simple model of phytoplankton–zooplankton interaction with a periodic input nutrient is presented. The model is then used to study a nutrient–plankton interaction with a toxic substance that inhibits the growth rate of plankton populations. The effects of the toxin upon the existence, magnitude, and stability of the periodic solutions are discussed. Numerical simulations are also provided to illustrate analytical results and to compare more complicated dynamical behaviour.

KW - Phytoplankton

KW - Poincaré map

KW - Toxin

KW - Uniform persistence

KW - Zooplankton

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SP - 14

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JO - Journal of Biological Dynamics

JF - Journal of Biological Dynamics

IS - 1

ER -

Plankton-toxin interaction with a variable input nutrient

Abstract

Keywords

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