How directional mobility affects coexistence in rock-paper-scissors models

Physical Review. E
P P AvelinoM A Santos

Abstract

This work deals with a system of three distinct species that changes in time under the presence of mobility, selection, and reproduction, as in the popular rock-paper-scissors game. The novelty of the current study is the modification of the mobility rule to the case of directional mobility, in which the species move following the direction associated to a larger (averaged) number density of selection targets in the surrounding neighborhood. Directional mobility can be used to simulate eyes that see or a nose that smells, and we show how it may contribute to reduce the probability of coexistence.

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Citations

Dec 30, 2018·Proceedings of the National Academy of Sciences of the United States of America·Nick Vallespir Lowery, Tristan Ursell
Mar 21, 2021·Scientific Reports·B Moura, J Menezes
Jun 18, 2021·Physical Review. E·J Menezes

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