Basin entropy behavior in a cyclic model of the rock-paper-scissors type

Abstract

We deal with stochastic network simulations in a model with three distinct species that compete under cyclic rules which are similar to the rules of the popular rock-paper-scissors game. We investigate the Hamming distance density and then the basin entropy behavior, running the simulations for some typical values of the parameters mobility, predation and reproduction and for very long time evolutions. The results show that the basin entropy is another interesting tool of current interest to investigate chaotic features of the network simulations that are usually considered to describe aspects of biodiversity in the cyclic three-species model.

arXiv comment7 pages, 7 figures, 2 tables. To appear in EPL

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Cited by in corpus (8)

• Pattern formations driven by cyclic interactions: a brief review of recent developments
• A test for fractal boundaries based on the basin entropy
• Unpredictability and basin entropy
• Lotka-Volterra versus May-Leonard formulations of the spatial stochastic Rock-Paper-Scissors model: the missing link
• Higher Order Dynamics in the Replicator Equation Produce a Limit Cycle in Rock-Paper-Scissors
• Is the public goods game a chaotic system?
• Emergence of first-order and second-order phase transitions in a cyclic ecosystem exposed to environmental impact
• Classifying basins of attraction using the basin entropy