Speaker
Namiko Mitarai
(NBI)
Description
Cyclic competition is an extension of Rock-Paper-Scissor
game, where one kind of species dominate another in a cyclic
relation. Its nontrivial behaviors have been widely studied
both in well-mixed systems and spatially structured systems.
We study the behavior of cyclic competition in one
dimensional lattice with a finite mixing rate [1] and the
system with three parallel one-dimensional lattices with
finite interaction rate between lines [2], to reveal how the
final outcome depends on the dimensionality.
[1] Feldager, C. W., Mitarai, N., & Ohta, H. (2017).
Deterministic extinction by mixing in cyclically competing
species. Physical Review E, 95(3), 032318.
[2] Mitarai, N., Gunnarson, I., Pedersen, B. N., Rosiek, C.
A., & Sneppen, K. (2016). Three is much more than two in
coarsening dynamics of cyclic competitions. Physical Review
E, 93(4), 042408.
