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Title: Four-state rock-paper-scissors games in constrained Newman-Watts networks
Authors: Zhang, GY
Chen, Y
Qi, WK
Qing, SM
Issue Date: 2-Jun-2009
Source: Physical review. E, Statistical, nonlinear, and soft matter physics, June 2009, v. 79, no. 6, 062901, p. 1-4
Abstract: We study the cyclic dominance of three species in two-dimensional constrained Newman-Watts networks with a four-state variant of the rock-paper-scissors game. By limiting the maximal connection distance R[sub max] in Newman-Watts networks with the long-range connection probability p, we depict more realistically the stochastic interactions among species within ecosystems. When we fix mobility and vary the value of p or R[sub max], the Monte Carlo simulations show that the spiral waves grow in size, and the system becomes unstable and biodiversity is lost with increasing p or R[sub max]. These results are similar to recent results of Reichenbach et al. Nature (London) 448 1046 (2007)], in which they increase the mobility only without including long-range interactions. We compared extinctions with or without long-range connections and computed spatial correlation functions and correlation length. We conclude that long-range connections could improve the mobility of species, drastically changing their crossover to extinction and making the system more unstable.
Keywords: Ecology
Game theory
Monte Carlo methods
Probability
Stochastic processes
Publisher: American Physical Society
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
ISSN: 1539-3755
EISSN: 1550-2376
DOI: 10.1103/PhysRevE.79.062901
Rights: Physical Review E © 2009 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
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