Title
Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton
Document Type
Article
Date of Original Version
1-15-2014
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. © 2013 Elsevier Inc. All rights reserved.
Publication Title, e.g., Journal
Applied Mathematics and Computation
Volume
227
Citation/Publisher Attribution
Jang, Sophia, James Baglama, and Li Wu. "Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton." Applied Mathematics and Computation 227, (2014): 717-740. doi: 10.1016/j.amc.2013.11.051.