Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton

Sophia Jang; James Baglama; Li Wu

doi:10.1016/j.amc.2013.11.051

Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton

Sophia Jang, James Baglama, Li Wu

Mathematics and Statistics

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

29 Scopus citations

Abstract

We propose periodic systems of phytoplankton-zooplankton interactions with toxin producing phytoplankton to study the effects of TPP upon extinction and persistence of the populations. Using the concept of uniform persistence, it is proved that the two populations can coexist for certain parameter regimes. The numerical investigation demonstrates that toxin producing phytoplankton may promote survival of zooplankton population on one hand and may destabilize the interactions on the other hand. Moreover, passive diffusion of both populations can simplify the dynamics of the interactions and exhibit plankton patchiness.

Original language	English
Pages (from-to)	717-740
Number of pages	24
Journal	Applied Mathematics and Computation
Volume	227
DOIs	https://doi.org/10.1016/j.amc.2013.11.051
State	Published - Jan 15 2014

Keywords

Periodic systems
Phytoplankton
Poincaré maps
Toxin
Uniform persistence
Zooplankton

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10.1016/j.amc.2013.11.051

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abstract = "We propose periodic systems of phytoplankton-zooplankton interactions with toxin producing phytoplankton to study the effects of TPP upon extinction and persistence of the populations. Using the concept of uniform persistence, it is proved that the two populations can coexist for certain parameter regimes. The numerical investigation demonstrates that toxin producing phytoplankton may promote survival of zooplankton population on one hand and may destabilize the interactions on the other hand. Moreover, passive diffusion of both populations can simplify the dynamics of the interactions and exhibit plankton patchiness.",

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AU - Jang, Sophia

AU - Baglama, James

AU - Wu, Li

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N2 - We propose periodic systems of phytoplankton-zooplankton interactions with toxin producing phytoplankton to study the effects of TPP upon extinction and persistence of the populations. Using the concept of uniform persistence, it is proved that the two populations can coexist for certain parameter regimes. The numerical investigation demonstrates that toxin producing phytoplankton may promote survival of zooplankton population on one hand and may destabilize the interactions on the other hand. Moreover, passive diffusion of both populations can simplify the dynamics of the interactions and exhibit plankton patchiness.

AB - We propose periodic systems of phytoplankton-zooplankton interactions with toxin producing phytoplankton to study the effects of TPP upon extinction and persistence of the populations. Using the concept of uniform persistence, it is proved that the two populations can coexist for certain parameter regimes. The numerical investigation demonstrates that toxin producing phytoplankton may promote survival of zooplankton population on one hand and may destabilize the interactions on the other hand. Moreover, passive diffusion of both populations can simplify the dynamics of the interactions and exhibit plankton patchiness.

KW - Periodic systems

KW - Phytoplankton

KW - Poincaré maps

KW - Toxin

KW - Uniform persistence

KW - Zooplankton

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SP - 717

EP - 740

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton

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Keywords

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