Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2010-02-02
Phys. Rev. E 81, 021917 (2010)
Biology
Quantitative Biology
Populations and Evolution
6 pages, 5 figures, to appear in Physical Review E
Scientific paper
As the behavior of a system composed of cyclically competing species is strongly influenced by the presence of fluctuations, it is of interest to study cyclic dominance in low dimensions where these effects are the most prominent. We here discuss rock-paper-scissors games on a one-dimensional lattice where the interaction rates and the mobility can be species dependent. Allowing only single site occupation, we realize mobility by exchanging individuals of different species. When the interaction and swapping rates are symmetric, a strongly enhanced swapping rate yields an increased mixing of the species, leading to a mean-field like coexistence even in one-dimensional systems. This coexistence is transient when the rates are asymmetric, and eventually only one species will survive. Interestingly, in our spatial games the dominating species can differ from the species that would dominate in the corresponding nonspatial model. We identify different regimes in the parameter space and construct the corresponding dynamical phase diagram.
Pleimling Michel
Venkat Siddharth
No associations
LandOfFree
Mobility and asymmetry effects in one-dimensional rock-paper-scissors games does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mobility and asymmetry effects in one-dimensional rock-paper-scissors games, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mobility and asymmetry effects in one-dimensional rock-paper-scissors games will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-706897