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

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.

arXiv comment6 pages, 10 figures

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• Behavioural Movement Strategies in Cyclic Models
• Effect of mobility in the rock-paper-scissor dynamics with high mortality
• Invasion controlled pattern formation in a generalized multi-species predator-prey system
• Adaptive movement strategy in rock-paper-scissors models
• Coevolutionary dynamics of a variant of the cyclic Lotka-Volterra model with three-agent interactions
• Influence of the neighborhood on cyclic models of biodiversity
• Mobility unevenness in rock-paper-scissors models
• Adaptive movement strategy may promote biodiversity in the rock-paper-scissors model
• Combination of survival movement strategies in cyclic game systems during an epidemic
• How multiple weak species jeopardise biodiversity in spatial rock-paper-scissors models
• How local antipredator response unbalances the rock-paper-scissors model
• Spatial organisation plasticity reduces disease infection risk in rock-paper-scissors models
• Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems
• Adaptive altruistic strategy in cyclic models during an epidemic
• Adaptive survival movement strategy to local epidemic outbreaks in cyclic models
• Rock-paper-scissors models with a preferred mobility direction
• Competition among alliances of different sizes
• Oppressed species can form a winning pair in a multi-species ecosystem
• Trade-off between reproduction and mobility prolongs organisms' survival in rock-paper-scissors models
• Ambush strategy enhances organisms' performance in rock-paper-scissors games
• Spatial patterns and biodiversity in rock-paper-scissors models with regional unevenness
• Mobility restrictions in response to local epidemic outbreaks in rock-paper-scissors models
• Emergence of first-order and second-order phase transitions in a cyclic ecosystem exposed to environmental impact
• Impact of reproduction-mobility trade-off on biodiversity in rock-paper-scissors models in changing environmental conditions
• Monitoring biodiversity on highly reactive rock-paper-scissors models