Noise-guided evolution within cyclical interactions

Abstract

We study a stochastic predator-prey model on a square lattice, where each of the six species has two superior and two inferior partners. The invasion probabilities between species depend on the predator-prey pair and are supplemented by Gaussian noise. Conditions are identified that warrant the largest impact of noise on the evolutionary process, and the results of Monte Carlo simulations are qualitatively reproduced by a four-point cluster dynamical mean-field approximation. The observed noise-guided evolution is deeply routed in short-range spatial correlations, which is supported by simulations on other host lattice topologies. Our findings are conceptually related to the coherence resonance phenomenon in dynamical systems via the mechanism of threshold duality. We also show that the introduced concept of noise-guided evolution via the exploitation of threshold duality is not limited to predator-prey cyclical interactions, but may apply to models of evolutionary game theory as well, thus indicating its applicability in several different fields of research.

to be published in New J. Phys

References in corpus (15)

• Evolutionary games on graphs
• Evolutionary prisoner's dilemma game on a square lattice
• Phase transitions and volunteering in spatial public goods games
• Stochastic Dynamics of Invasion and Fixation
• Coevolutionary Dynamics: From Finite to Infinite Populations
• Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
• Two-Dimensional Vortex Lattice Melting
• The Importance of Being Discrete - Life Always Wins on the Surface
• Stochasticity and evolutionary stability
• Cyclical interactions with alliance-specific heterogeneous invasion rates
• Phase transition in a spatial Lotka-Volterra model
• Defensive alliances in spatial models of cyclical population interactions
• Stochastic gain in population dynamics
• Competing associations in six-species predator-prey models
• First- and second-order phase transitions in a driven lattice gas with nearest-neighbor exclusion

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• Deterministic evolutionary game dynamics in finite populations
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• Zealots tame oscillations in the spatial rock-paper-scissors game
• Ecosystems with mutually exclusive interactions self-organize to a state of high diversity
• How turbulence regulates biodiversity in systems with cyclic competition
• Emergence of target waves in paced populations of cyclically competing species
• Determine dynamical behaviors by the Lyapunov function in competitive Lotka-Volterra systems
• Reducing the Heterogeneity of Payoffs: an Effective Way to Promote Cooperation in Prisoner's Dilemma Game
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• Coupled dynamics of mobility and pattern formation in optional public goods games
• Coexistence of Competing Microbial Strains under Twofold Environmental Variability and Demographic Fluctuations
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• Rock-paper-scissors models with a preferred mobility direction
• Disturbance accelerates the transition from low- to high- diversity state in a model ecosystem