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论文类型：期刊论文

发表时间：2016-08-01

发表刊物：ENTROPY

收录刊物：SCIE、Scopus

卷号：18

期号：8

ISSN号：1099-4300

关键字：ordinary differential equation; cellular-automata; evolutionary games

摘要：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 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 rate, which suggests a new way to produce self-organized spatial patterns.