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Stoichiometric food chain model on discrete time scale
Ming Chen1, Meng Fan, Congbo Xie
1School of Science, Dalian Maritime University, 1 Linghai Road, Dalian, Liaoning, 116026, P. R. China.
Mathematical Biosciences and Engineering : MBE
|January 25, 2019
Summary
Stoichiometric models reveal that producer nutritional quality significantly impacts population dynamics. These findings are robust to time discretization in producer-grazer systems.
Area of Science:
- Ecology
- Theoretical Ecology
- Mathematical Biology
Background:
- Stoichiometry-based models offer valuable insights into producer-grazer systems.
- Continuous-time models are widely used, but their robustness to time discretization is unclear.
Purpose of the Study:
- To analyze a discrete stoichiometric food-chain model and compare its predictions with a continuous model.
- To assess the robustness of stoichiometric model predictions to time discretization.
Main Methods:
- Developed a discrete stoichiometric food-chain model.
- Compared theoretical and numerical results with a corresponding continuous model.
- Investigated the impact of producer nutritional quality on population dynamics.
Main Results:
- Discrete and continuous stoichiometric models share many properties, but also exhibit differences.
- Stoichiometric effects of producer nutritional quality are preserved in discrete models.
- Time discretization can enlarge parameter ranges for chaotic dynamics.
Conclusions:
- Stoichiometric mechanisms in producer-grazer models are robust to time discretization.
- Producer nutritional quality can profoundly and counterintuitively influence population dynamics.
- Findings align with existing analyses of pelagic systems.
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