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Dynamically generated hierarchies in games of competition
Barton L Brown1,2, Hildegard Meyer-Ortmanns3, Michel Pleimling1,2,4
1Department of Physics, Virginia Tech, Blacksburg, Virginia 24061-0435, USA.
Physical Review. E
|July 24, 2019
Summary
Complex predator-prey models can generate universal space-time patterns. This study reveals nested spiral formations in a nine-species system, offering insights into dynamically generated hierarchies in ecological and social systems.
Area of Science:
- Ecology
- Complex Systems Science
- Theoretical Biology
Background:
- Spatial predator-prey models exhibit complex space-time patterns.
- The existence of universal mechanisms for pattern generation in nonequilibrium systems is an open question.
Purpose of the Study:
- To investigate dynamically generated hierarchies in predator-prey systems.
- To explore universal mechanisms for complex pattern formation.
Main Methods:
- Analysis of a nine-species model with competing interactions.
- Numerical investigation of correlation lengths, empty site densities, and Fourier analysis.
- Examination of interface fluctuations for spatial and temporal dynamics.
Main Results:
- Spontaneous formation of spirals within spirals observed.
- Parameter dependence of nested spiral formation elucidated.
- Comprehensive understanding of spatial arrangements and temporal evolution achieved.
Conclusions:
- Dynamically generated hierarchies are possible in predator-prey systems.
- The mechanism contributes to understanding complex behaviors in biological and social systems.
- Cyclic interactions naturally arise from competing strategies.
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