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Plankton-toxin interaction with a variable input nutrient
Sophia R-J Jang1, James Baglama, Johannes Rick
1Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA. jang@louisiana.edu
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.
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