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Related Experiment Video

Updated: Jan 19, 2026

Ecosystem and Biomes
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Mathematical analysis on deterministic and stochastic lake ecosystem models.

Zhi Wei Huang1, Gang Huang1

  • 1School of Mathematics and Physics, China University of Geosciences, 430074, Wuhan, P.R. China.

Mathematical Biosciences and Engineering : MBE
|September 11, 2019
PubMed
Summary
This summary is machine-generated.

Terrestrial organic matter significantly influences plankton populations in lake ecosystems. Our models show this organic matter is key to understanding phytoplankton and zooplankton dynamics and persistence.

Keywords:
Itô’s formulaLyapunov functionstationary distributionterrestrial organic matter

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Environmental Science

Background:

  • Plankton populations are crucial for aquatic ecosystems.
  • Understanding factors affecting plankton persistence is vital for ecological management.
  • The role of terrestrial organic matter in lake dynamics requires further investigation.

Purpose of the Study:

  • To investigate the impact of terrestrial organic matter on plankton population persistence.
  • To analyze the dynamics of lake ecosystems using deterministic and stochastic models.
  • To enhance understanding of factors governing plankton population dynamics.

Main Methods:

  • Development and analysis of deterministic and stochastic lake ecosystem models.
  • Application of Lyapunov function and LaSalle's Invariance Principle for deterministic model analysis.
  • Theoretical analysis of the stochastic model for stationary distribution and ergodicity.

Main Results:

  • The deterministic model analysis established global properties and showed good agreement with experimental data.
  • Terrestrial organic matter was identified as a significant factor influencing phytoplankton and zooplankton interactions.
  • The stochastic model was shown to possess a stationary distribution and be ergodic.

Conclusions:

  • Terrestrial organic matter plays a critical role in the persistence and dynamics of plankton populations.
  • Both deterministic and stochastic modeling approaches provide valuable insights into lake ecosystem behavior.
  • The study contributes to a deeper understanding of the complex factors driving plankton population dynamics.