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Basins of attraction for species extinction and coexistence in spatial rock-paper-scissors games.
- Source :
-
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2010 Mar; Vol. 81 (3 Pt 1), pp. 030901. Date of Electronic Publication: 2010 Mar 01. - Publication Year :
- 2010
-
Abstract
- We study the collective dynamics of mobile species under cyclic competition by breaking the symmetry in the initial populations and examining the basins of the two distinct asymptotic states: extinction and coexistence, the latter maintaining biodiversity. We find a rich dependence of dynamical properties on initial conditions. In particular, for high mobility, only extinction basins exist and they are spirally entangled, but a basin of coexistence emerges when the mobility parameter is decreased through a critical value, whose area increases monotonically as the parameter is further decreased. The structure of extinction basins for high mobility can be predicted by a mean-field theory. These results provide a more comprehensive picture for the fundamental issue of species coexistence than previously achieved.
Details
- Language :
- English
- ISSN :
- 1550-2376
- Volume :
- 81
- Issue :
- 3 Pt 1
- Database :
- MEDLINE
- Journal :
- Physical review. E, Statistical, nonlinear, and soft matter physics
- Publication Type :
- Academic Journal
- Accession number :
- 20365687
- Full Text :
- https://doi.org/10.1103/PhysRevE.81.030901