Nutrient-phytoplankton-zooplankton models with a toxin

S. R.J. Jang; J. Baglama; J. Rick

doi:10.1016/j.mcm.2005.09.030

Nutrient-phytoplankton-zooplankton models with a toxin

S. R.J. Jang, J. Baglama, J. Rick

Mathematics and Statistics

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61 Scopus citations

Abstract

Models of nutrient-plankton interaction with a toxic substance that inhibits either the growth rate of phytoplankton, zooplankton or both trophic levels are proposed and studied. For simplicity, it is assumed that both nutrient and the toxin have the same constant input and washout rate as the chemostat system. The effects of the toxin upon the existence, magnitude, and stability of the steady states are examined. Numerical simulations demonstrate that the system can have multiple attractors when the phytoplankton's nutrient uptake rate is inhibited by the toxin.

Original language	English
Pages (from-to)	105-118
Number of pages	14
Journal	Mathematical and Computer Modelling
Volume	43
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2005.09.030
State	Published - Jan 2006

Keywords

Asymptotic dynamics
Inhibitor
Liapunov function
Plankton populations
Toxin
Uniform persistence

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10.1016/j.mcm.2005.09.030

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abstract = "Models of nutrient-plankton interaction with a toxic substance that inhibits either the growth rate of phytoplankton, zooplankton or both trophic levels are proposed and studied. For simplicity, it is assumed that both nutrient and the toxin have the same constant input and washout rate as the chemostat system. The effects of the toxin upon the existence, magnitude, and stability of the steady states are examined. Numerical simulations demonstrate that the system can have multiple attractors when the phytoplankton's nutrient uptake rate is inhibited by the toxin.",

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KW - Uniform persistence

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Nutrient-phytoplankton-zooplankton models with a toxin

Abstract

Keywords

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