Diverging fluctuations in a spatial five-species cyclic dominance game

Abstract

A five-species predator-prey model is studied on a square lattice where each species has two prey and two predators on the analogy to the Rock-Paper-Scissors-Lizard-Spock game. The evolution of the spatial distribution of species is governed by site exchange and invasion between the neighboring predator-prey pairs, where the cyclic symmetry can be characterized by two different invasion rates. The mean-field analysis has indicated periodic oscillations in the species densities with a frequency becoming zero for a specific ratio of invasion rates. When varying the ratio of invasion rates, the appearance of this zero-eigenvalue mode is accompanied by neutrality between the species associations. Monte Carlo simulations of the spatial system reveal diverging fluctuations at a specific invasion rate, which can be related to the vanishing dominance between all pairs of species associations.

accepted for publication in Physical Review E

References in corpus (11)

• Evolutionary games on graphs
• Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
• Noise and Correlations in a Spatial Population Model with Cyclic Competition
• Coexistence and Survival in Conservative Lotka-Volterra Networks
• Effects of competition on pattern formation in the rock-paper-scissors game
• Self-organizing patterns maintained by competing associations in a six-species predator-prey model
• Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species
• Intransitivity and coexistence in four species cyclic games
• Interplay between partnership formation and competition in generalized May-Leonard games
• Emergence of target waves in paced populations of cyclically competing species
• Heterogeneity in connectivity of habitat networks saves stable coexistence of competing species

Cited by in corpus (40)

• Cyclic dominance in evolutionary games: A review
• Stochastic population dynamics in spatially extended predator-prey systems
• Second-order freeriding on antisocial punishment restores the effectiveness of prosocial punishment
• Evolutionary potential games on lattices
• Pattern formations driven by cyclic interactions: a brief review of recent developments
• Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers
• Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
• Predominance of the weakest species in Lotka-Volterra and May-Leonard implementations of the rock-paper-scissors model
• From pairwise to group interactions in games of cyclic dominance
• Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model
• A novel procedure for the identification of chaos in complex biological systems
• A theoretical approach to understand spatial organization in complex ecologies
• Globally synchronized oscillations in complex cyclic games
• The effect of habitats and fitness on species coexistence in systems with cyclic dominance
• Hamming distance and mobility behavior in generalized rock-paper-scissors models
• Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
• Mobility-Dependent Selection of Competing Strategy Associations
• Stability of cycling behaviour near a heteroclinic network model of Rock-Paper-Scissors-Lizard-Spock
• Spirals and coarsening patterns in the competition of many species: A complex Ginzburg-Landau approach
• Dynamically generated hierarchies in games of competition
• String networks with junctions in competition models
• Invasion controlled pattern formation in a generalized multi-species predator-prey system
• Basin entropy behavior in a cyclic model of the rock-paper-scissors type
• Mortality makes coexistence vulnerable in evolutionary game of rock-paper-scissors
• Performance of weak species in the simplest generalization of the rock-paper-scissors model to four species
• Influence of the neighborhood on cyclic models of biodiversity
• Topologically robust zero-sum games and Pfaffian orientation -- How network topology determines the long-time dynamics of the antisymmetric Lotka-Volterra equation
• Phase transitions in dependence of apex predator decaying ratio in a cyclic dominant system
• Synchronization and extinction in cyclic games with mixed strategies
• Emerging solutions from the battle of defensive alliances
• Lotka-Volterra versus May-Leonard formulations of the spatial stochastic Rock-Paper-Scissors model: the missing link
• Effects of a pestilent species on the stability of cyclically dominant species
• Equal partners do better in defensive alliances
• Evolutionary hypergame dynamics
• Oppressed species can form a winning pair in a multi-species ecosystem
• Chaotic behavior in Lotka-Volterra and May-Leonard models of biodiversity
• Competition among alliances of different sizes
• Death by starvation in May-Leonard models
• Role of predator-prey reversal in Rock-Paper-Scissors models
• Cooperation in costly-access environments