A Five Species Cyclically Dominant Evolutionary Game with Fixed Direction: A New Way to Produce Self-Organized Spatial Patterns

A Five Species Cyclically Dominant Evolutionary Game with Fixed Direction: A New Way to Produce Self-Organized Spatial Patterns

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Cyclically dominant systems are hot issues in academia, and they play an important role in explaining biodiversity in Nature.In this paper, we construct sensory play a five-strategy cyclically dominant system.Each individual in our system changes its strategy along a fixed direction.The 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 Dice 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 rate, which suggests a new way to produce self-organized spatial patterns.