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Self-organizing patterns maintained by competing associations in a six-species predator-prey model
György Szabó1, Attila Szolnoki, István Borsos
1Research Institute for Technical Physics and Materials Science, Budapest, Hungary.
Summary
This study models species interactions in a lattice, revealing how predator-prey dynamics and neutral site exchange form distinct ecological associations. The findings show complex coexistence patterns depending on interaction probabilities.
Area of Science:
- Ecology
- Theoretical Ecology
- Mathematical Biology
Background:
- Ecological systems involve complex interactions between species.
- Understanding the formation and stability of species associations is crucial for community ecology.
- Spatial structure and invasion dynamics significantly influence ecological community assembly.
Purpose of the Study:
- To investigate the formation and competition of species associations in a six-species ecological model.
- To analyze the impact of predator-prey relationships and neutral site exchange on spatial distribution.
- To identify conditions leading to coexistence or dominance of different types of species associations.
Main Methods:
- A six-species ecological model on a square lattice was developed.
- Species distribution dynamics were governed by iterated invasions between predator-prey pairs and neutral site exchange (probability X).
- Spatiotemporal patterns and the final state of associations were analyzed across varying values of X.
Main Results:
- Five distinct associations, composed of two or three species, emerged with specific spatiotemporal patterns.
- For high X, cyclic dominance occurred among two-species associations.
- For low X, one of the three-species associations dominated.
- Intermediate X values led to coexistence of all five associations due to temporary reductions in resistance.
Conclusions:
- The model demonstrates how simple rules of invasion and site exchange can generate complex ecological structures.
- The probability of neutral site exchange (X) is a critical parameter determining the outcome of species association competition.
- The study highlights the potential for coexistence of diverse ecological associations under specific dynamic conditions.
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