Cyclic competition model with layered initial conditions

Abstract

The purpose of this study is to explore how a layered structure of initial conditions in RPS game simulations compares to the known results. The original simulation starts with randomized initial conditions, and if the mobility is lower than the critical mobility, spiral waves are generated, and if it is high, they die out. However, if the lattice is equally divided into three parts and the initial conditions are such that each part is dominated by species A, B, and C, it can be seen that spiral waves do not occur at low mobility with time, the initial structure is not broken, and the critical mobility at which extinction occurs is greatly increased. Furthermore, in an experiment where the layers are noisy, the behavior is similar to a typical three-layer state unless randomized. This suggests that very high mobility is required to break the robust structure.