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Imitation strategy in the Rosenzweig-MacArthur model
Przemysław Gawroński1, Alfio Borzì2, Krzysztof Kułakowski1
1AGH University of Krakow, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, PL-30059 Kraków, Poland.
Physical Review. E
|July 24, 2026
Summary
This study introduces a "win-stay, lose-shift" strategy into the Rosenzweig-MacArthur model. This adaptive consumer behavior leads to stable population dynamics, even in chaotic regimes, offering insights into ecological equilibrium.
Area of Science:
- Ecology
- Theoretical Ecology
- Population Dynamics
Background:
- The Rosenzweig-MacArthur model describes predator-prey dynamics.
- Consumer resource acquisition strategies influence ecological stability.
- Adaptive behaviors can alter population dynamics.
Purpose of the Study:
- To investigate the impact of adaptive consumer strategies on ecological dynamics.
- To analyze the stability of the Rosenzweig-MacArthur model with evolving consumer behaviors.
- To introduce and evaluate the "win-stay, lose-shift" strategy.
Main Methods:
- Simulations of a two-consumer, two-resource Rosenzweig-MacArthur model.
- Incorporation of adaptive consumer strategies based on relative success.
- Analysis of phase diagrams to identify periodic and chaotic regimes.
Main Results:
- The "win-stay, lose-shift" strategy was simulated within the Rosenzweig-MacArthur model.
- Phase diagrams revealed periodic orbits and chaotic dynamics.
- The "win-stay, lose-shift" strategy demonstrated equilibrium properties in both periodic and chaotic scenarios.
Conclusions:
- Adaptive consumer behavior, specifically "win-stay, lose-shift," can stabilize ecological systems.
- This strategy provides a robust equilibrium across different dynamic regimes.
- The findings offer a novel perspective on the evolution of consumer strategies in ecology.
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