Next Article in Journal
Microstructures of Al7.5Cr22.5Fe35Mn20Ni15 High-Entropy Alloy and Its Polarization Behaviors in Sulfuric Acid, Nitric Acid and Hydrochloric Acid Solutions
Previous Article in Journal
Parametric Analysis of the Exergoeconomic Operation Costs, Environmental and Human Toxicity Indexes of the MF501F3 Gas Turbine
Article Menu

Export Article

Open AccessArticle
Entropy 2016, 18(8), 284; doi:10.3390/e18080284

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

1
School of Mathematical Science, Dalian University of Technology, Dalian 116024, China
2
School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian 116024, China
*
Author to whom correspondence should be addressed.
Academic Editor: Antonio M. Scarfone
Received: 21 April 2016 / Revised: 25 July 2016 / Accepted: 1 August 2016 / Published: 8 August 2016
(This article belongs to the Section Statistical Mechanics)
View Full-Text   |   Download PDF [2091 KB, uploaded 8 August 2016]   |  

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. View Full-Text
Keywords: ordinary differential equation; cellular-automata; evolutionary games ordinary differential equation; cellular-automata; evolutionary games
Figures

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Kang, Y.; Pan, Q.; Wang, X.; He, M. A Five Species Cyclically Dominant Evolutionary Game with Fixed Direction: A New Way to Produce Self-Organized Spatial Patterns. Entropy 2016, 18, 284.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top