Cyclically dominant systems are hot issues in academia, and they play an important role in explaining biodiversity in Nature.In this paper, we construct a five-strategy cyclically dominant system.Each individual in our system changes its strategy along a fixed direction.The Olive Picks dominant strategy can promote a change in the dominated strategy, and the dominated strategy can block a change in the dominant strategy.We use mean-field theory and cellular automaton simulation to discuss the evolving characters of the system.
In the cellular automaton simulation, we find the emergence of spiral waves on spatial patterns without a migration Holy Basil rate, which suggests a new way to produce self-organized spatial patterns.