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Comparison of dynamic behavior between continuous- and discrete-time models of intraguild predation
Ming Chen1, Menglin Gong1, Jimin Zhang2
1School of Science, Dalian Maritime University, Dalian 116026, Liaoning, China.
Mathematical Biosciences and Engineering : MBE
|July 28, 2023
Summary
This study compares discrete and continuous models of intraguild predation, finding similar population dynamics but differences in chaos and multistability due to time scales. Understanding these time scale effects is crucial for ecological modeling.
Area of Science:
- Ecological Dynamics
- Mathematical Biology
- Predator-Prey Interactions
Background:
- Intraguild predation, where one predator preys on another competing for shared resources, is a significant ecological interaction.
- Stoichiometric models incorporate nutrient dynamics, offering a more realistic portrayal of ecological processes.
- Continuous-time models are common, but discrete-time analogs may better represent certain ecological phenomena.
Purpose of the Study:
- To develop and analyze a discrete-time analog of a continuous-time stoichiometric intraguild predation model.
- To compare the dynamic behaviors of discrete- and continuous-time models.
- To investigate the influence of time scales on intraguild predation dynamics, including population coexistence and stoichiometric effects.
Main Methods:
- Development of a discrete-time model based on a continuous-time stoichiometric intraguild predation model.
- Analysis of discrete model dynamics: boundedness, invariance, stability of equilibria, and ecological matrices.
- Numerical analysis to compare the dynamic behaviors of both discrete and continuous models.
Main Results:
- Both discrete and continuous models exhibit similar population coexistence regions and stoichiometric effects of prey food quality.
- Significant differences emerge in dynamics at intermediate and high light intensities.
- Multistability characteristics and chaos intervals vary notably between the discrete- and continuous-time models.
Conclusions:
- Time scales play a critical role in shaping the dynamics of intraguild predation.
- Discrete-time models can reveal distinct behaviors not captured by their continuous counterparts, particularly concerning chaos and multistability.
- The study highlights the importance of considering temporal aspects in ecological modeling for accurate predictions.
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