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Synchronization and stability in noisy population dynamics
Sabrina B L Araujo1, M A M de Aguiar
1Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, Caixa Postal 6165, 13083-970 Campinas, São Paulo, Brazil.
Summary
Noise destabilizes single predator-prey populations. Multiple patches increase stability and synchronization, but some asynchrony persists, suggesting a general stabilization mechanism.
Area of Science:
- Ecology
- Mathematical Biology
- Statistical Physics
Background:
- Predator-prey models are fundamental to ecology.
- Environmental noise can destabilize ecological systems.
- Coupled populations and spatial structures influence stability.
Purpose of the Study:
- To investigate the impact of noise on predator-prey population stability and synchronization across multiple patches.
- To explore the relationship between the number of patches, noise, and population dynamics.
- To evaluate the generality of noise-induced stabilization mechanisms.
Main Methods:
- Mathematical modeling of predator-prey dynamics in a network of local patches.
- Analysis of population stability and synchronization under stochastic perturbations (noise).
- Simulations and theoretical analysis varying the number of coupled patches.
Main Results:
- Single patches subjected to noise exhibit destabilization and extinction.
- Small numbers of patches show stabilization at the cost of synchronization.
- Increasing patch numbers enhances both stability and synchrony.
- A persistent residual asynchrony is observed even with infinite patches.
Conclusions:
- Noise can paradoxically stabilize predator-prey systems when populations are spatially distributed.
- The degree of spatial coupling (number of patches) is critical for system stability and synchrony.
- The findings support and generalize Abta's mechanism for noise-induced stabilization in ecological networks.
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