Cyclic competition of four species: domains and interfaces

Abstract

We study numerically domain growth and interface fluctuations in one- and two-dimensional lattice systems composed of four species that interact in a cyclic way. Particle mobility is implemented through exchanges of particles located on neighboring lattice sites. For the chain we find that domain growth strongly depends on the mobility, with a higher mobility yielding a larger domain growth exponent. In two space dimensions, when also exchanges between mutually neutral particles are possible, both domain growth and interface fluctuations display universal regimes that are independent of the predation and exchange rates.

14 pages, 7 figures, version accepted for publication in J. Stat. Mech

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• Interplay between partnership formation and competition in generalized May-Leonard games
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• Interfaces with internal structures in generalized rock-paper-scissors models
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• How turbulence regulates biodiversity in systems with cyclic competition
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• A theoretical approach to understand spatial organization in complex ecologies
• Globally synchronized oscillations in complex cyclic games
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• Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
• Extinction in four species cyclic competition
• Mobility-Dependent Selection of Competing Strategy Associations
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• Invasion controlled pattern formation in a generalized multi-species predator-prey system
• Aging processes in systems with anomalous slow dynamics
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• Rock-paper-scissors models with a preferred mobility direction
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• Impact of parity in rock-paper-scissors type models