Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-08-01

Journal: ENTROPY

Included Journals: Scopus、SCIE

Volume: 18

Issue: 8

ISSN: 1099-4300

Key Words: ordinary differential equation; cellular-automata; evolutionary games

Abstract: 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.