EconPapers    
Economics at your fingertips  
 

Space promotes the coexistence of species: Effective medium approximation for rock-paper-scissors system

Takashi Nagatani, Kazunori Sato, Genki Ichinose and Kei-ichi Tainaka

Ecological Modelling, 2017, vol. 359, issue C, 240-245

Abstract: Stochastic cellular automata for rock-paper-scissors games are related to Lotka-Volterra model. Simulations are usually performed by two methods local and global interactions. It is well known that the population dynamics with local interaction is stable, where all species coexist. In contrast, global interaction leads to extinction. So far, theories such as mean-field theory and pair approximation have been presented, but they never explained the stable dynamics in local simulation. In the present article, we apply effective medium approximation (EMA) which has been developed in Physics. The effective medium is determined in a self-consistent way. The EMA theory well predicts the stability of population dynamics. Moreover, it fairly explains the aggregation of each species observed in the stationary state.

Keywords: Effective medium approximation; Rock-paper-scissors game; Stochastic cellular automaton; Population dynamics; Self-consistent field; Spatial pattern formation (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304380017303241
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:359:y:2017:i:c:p:240-245

Access Statistics for this article

Ecological Modelling is currently edited by Brian D. Fath

More articles in Ecological Modelling from Elsevier
Series data maintained by Dana Niculescu ().

 
Page updated 2017-10-01
Handle: RePEc:eee:ecomod:v:359:y:2017:i:c:p:240-245