Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/167986
Authors: 
Mobilia, Mauro
Rucklidge, Alastair M.
Szczesny, Bartosz
Year of Publication: 
2016
Citation: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 7 [Year:] 2016 [Issue:] 3 [Pages:] 1-12
Abstract: 
We consider a two-dimensional model of three species in rock-paper-scissors competition and study the self-organisation of the population into fascinating spiraling patterns. Within our individual-based metapopulation formulation, the population composition changes due to cyclic dominance (dominance-removal and dominance-replacement), mutations, and pair-exchange of neighboring individuals. Here, we study the influence of mobility on the emerging patterns and investigate when the pair-exchange rate is responsible for spiral waves to become elusive in stochastic lattice simulations. In particular, we show that the spiral waves predicted by the system's deterministic partial equations are found in lattice simulations only within a finite range of the mobility rate. We also report that in the absence of mutations and dominance-replacement, the resulting spiraling patterns are subject to convective instability and far-field breakup at low mobility rate. Possible applications of these resolution and far-field breakup phenomena are discussed.
Subjects: 
Rock-Paper-Scissors
cyclic dominance
pattern formation
spiral waves
diffusion
phase diagram
individual-based modelling
stochastic lattice simulations
complex Ginzburg-Landau equation
Persistent Identifier of the first edition: 
Creative Commons License: 
http://creativecommons.org/licenses/by/4.0/
Document Type: 
Article
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