Deterministic and stochastic nutrient-phytoplankton- zooplankton models with periodic toxin producing phytoplankton

作者：

Highlights：

• Deterministic and stochastic nutrient-phytoplankton-zooplankton models with toxin producing phytoplankton are studied.

• The input nutrient concentration and the toxin liberation rate play critical roles in the plankton dynamics.

• Periodic toxin liberation by phytoplankton can complicate plankton interactions.

• Harmful algal blooms can be diminished if the maximal toxin liberation rate is large.

摘要

•Deterministic and stochastic nutrient-phytoplankton-zooplankton models with toxin producing phytoplankton are studied.•The input nutrient concentration and the toxin liberation rate play critical roles in the plankton dynamics.•Periodic toxin liberation by phytoplankton can complicate plankton interactions.•Harmful algal blooms can be diminished if the maximal toxin liberation rate is large.

论文关键词：Phytoplankton,Zooplankton,Uniform persistence,Itô stochastic differential equations

论文评审过程：Received 26 March 2015, Revised 30 June 2015, Accepted 16 August 2015, Available online 19 September 2015, Version of Record 19 September 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.08.065