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Diverging fluctuations in a spatial five-species cyclic dominance game.
- Source :
-
Physical Review E: Statistical, Nonlinear & Soft Matter Physics . Aug2013, Vol. 88 Issue 2-A, p1-8. 8p. - Publication Year :
- 2013
-
Abstract
- A five-species predator-prey model is studied on a square lattice where each species has two prey and two predators on the analogy to the rock-paper-scissors-lizard-Spock game. The evolution of the spatial distribution of species is governed by site exchange and invasion between the neighboring predator-prey pairs, where the cyclic symmetry can be characterized by two different invasion rates. The mean-field analysis has indicated periodic oscillations in the species densities with a frequency becoming zero for a specific ratio of invasion rates. When varying the ratio of invasion rates, the appearance of this zero-eigenvalue mode is accompanied by neutrality between the species associations. Monte Carlo simulations of the spatial system reveal diverging fluctuations at a specific invasion rate, which can be related to the vanishing dominance between all pairs of species associations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15393755
- Volume :
- 88
- Issue :
- 2-A
- Database :
- Academic Search Index
- Journal :
- Physical Review E: Statistical, Nonlinear & Soft Matter Physics
- Publication Type :
- Academic Journal
- Accession number :
- 90547636
- Full Text :
- https://doi.org/10.1103/PhysRevE.88.022123