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The Use of Chemostats in Microbial Systems Biology
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Stability switches and chaos induced by delay in a reaction-diffusion nutrient-plankton model
Qing Guo1,2, Lijun Wang3, He Liu1,2
1School of Life and Environmental Science, Wenzhou University, Wenzhou, People's Republic of China.
Journal of Biological Dynamics
|November 14, 2023
Summary
Time delays in phytoplankton growth can introduce complex dynamics, like oscillations and chaos, into aquatic nutrient-plankton systems. This study analyzes how these delays impact ecosystem stability and behavior.
Area of Science:
- Ecological modeling
- Mathematical biology
- Aquatic ecosystems
Background:
- Nutrient-phytoplankton-zooplankton dynamics are crucial for aquatic ecosystems.
- Time delays in biological processes can significantly alter population dynamics.
Purpose of the Study:
- To investigate the effect of time delay in phytoplankton growth on a reaction-diffusion nutrient-plankton model.
- To analyze the emergence of oscillations and complex dynamics due to this time delay.
Main Methods:
- Theoretical analysis using Hopf bifurcation.
- Analytical tracking of bifurcation direction and stability.
- Numerical simulations to observe system behavior.
Main Results:
- Time delay can induce persistent oscillations via Hopf bifurcation.
- Stability switches occur with increasing time lags.
- The model displays periodic-2, periodic-3, and chaotic solutions.
Conclusions:
- Time delays in phytoplankton growth are a key factor in generating complex dynamics in aquatic ecosystems.
- This complexity includes oscillations, stability changes, and chaotic behavior.
- The findings contribute to understanding the ecological stability of nutrient-plankton systems.
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