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Related Experiment Video

Updated: Jul 7, 2025

Chemotactic Response of Marine Micro-Organisms to Micro-Scale Nutrient Layers

Chemotactic Response of Marine Micro-Organisms to Micro-Scale Nutrient Layers

Published on: May 28, 2007

Bifurcation and pattern dynamics in the nutrient-plankton network.

Wenjie Yang¹, Qianqian Zheng¹, Jianwei Shen²

¹School of Science, Xuchang University, Xuchang 461000, China.

Mathematical Biosciences and Engineering : MBE

|December 21, 2023

Summary

This summary is machine-generated.

This study analyzes harmful algal blooms (HABs) using a nutrient-plankton model, revealing how system dynamics and de-eutrophication influence algae growth and stability. Findings guide environmental solutions for phytoplankton overgrowth.

Keywords:

Holling-IV functional response bifurcation nutrient-plankton system patterns random network

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Published on: November 12, 2021

Area of Science:

Marine Ecology
Nonlinear Dynamics
Environmental Science

Background:

Harmful algal blooms (HABs) pose significant ecological and economic threats.
Understanding the complex dynamics of nutrient-plankton interactions is crucial for predicting and managing HABs.
Previous models often simplify the spatial and temporal complexities of algal growth.

Purpose of the Study:

To analyze the spatial and temporal distribution of algae using a Holling-IV nutrient-plankton model.
To investigate the stability and bifurcation of a nonlinear dynamic model for HABs.
To evaluate the impact of de-eutrophication on the nonlinear dynamic behavior of algae.

Main Methods:

Utilized a Holling-IV nutrient-plankton model integrated into a network structure.
Applied nonlinear dynamic theory to analyze system stability and bifurcation phenomena.
Determined conditions for various equilibrium points and bifurcations (saddle-node, transcritical, Hopf-Andronov, Bogdanov-Takens).
Assessed the stability of the limit cycle and employed numerical simulations.

Main Results:

Identified conditions for multiple types of bifurcations in the nutrient-plankton system.
Numerical simulations demonstrated complex dynamic behaviors and system robustness through node switching.
Established a clear relationship between harmful algal blooms (HABs) and bifurcation phenomena.
Showcased the effect of de-eutrophication on algae's nonlinear dynamics.

Conclusions:

The study provides critical insights into the nonlinear dynamics governing HABs.
The findings highlight the importance of bifurcation analysis in understanding and managing algal blooms.
Results offer significant guidance for addressing environmental issues related to excessive phytoplankton growth and HABs.