Competition among alliances of different sizes
arXiv:2202.12185 · doi:10.1016/j.chaos.2022.111940
Abstract
To understand the biodiversity of an ecosystem cannot be understood by solely analyzing the pair relations of competing species. Instead, we should consider multi-point interactions because the presence of a third party could change the original microscopic outcome significantly. In this way an alliance may emerge where species, who may have biased relations otherwise, can protect each other from an external invader. Such an alliance can be formed by two, three or even more species. By introducing a minimal model where six species compete for space we here study how the size of an alliance determines the vitality of a formation. We show that in the majority of parameter space the group of the smallest size prevails and other solutions can only be observed in a limited parameter range. These phases are separated by discontinuous phase transitions which can only be identified by intensive numerical efforts due to serious finite size effects and long relaxation processes.
arXiv comment9 pages, 7 figures, accepted for publication in Chaos, Solitons and Fractals
References in corpus (38)
- Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
- Cyclic dominance in evolutionary games: A review
- Critical Coarsening without Surface Tension: the Voter Universality Class
- Alliance formation with exclusion in the spatial public goods game
- Cyclical interactions with alliance-specific heterogeneous invasion rates
- Imitating emotions instead of strategies in spatial games elevates social welfare
- Dynamically generated cyclic dominance in spatial prisoner's dilemma games
- Collective influence in evolutionary social dilemmas
- Diverging fluctuations in a spatial five-species cyclic dominance game
- Defensive alliances in spatial models of cyclical population interactions
- Pattern formations driven by cyclic interactions: a brief review of recent developments
- A novel route to cyclic dominance in voluntary social dilemmas
- Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers
- Self-organizing patterns maintained by competing associations in a six-species predator-prey model
- Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
- Competing associations in six-species predator-prey models
- Biodiversity in models of cyclic dominance is preserved by heterogeneity in site-specific invasion rates
- Segregation process and phase transition in cyclic predator-prey models with even number of species
- Predominance of the weakest species in Lotka-Volterra and May-Leonard implementations of the rock-paper-scissors model
- How directional mobility affects biodiversity in rock-paper-scissors models
- Strategy dependent learning activity in cyclic dominant systems
- A theoretical approach to understand spatial organization in complex ecologies
- Strategy equilibrium in dilemma games with off-diagonal payoff perturbations
- The Influence of Mobility Rate on Spiral Waves in Spatial Rock-Paper-Scissors Games
- The effect of habitats and fitness on species coexistence in systems with cyclic dominance
- Non-Hermitian topology in rock-paper-scissors games
- Instability of defensive alliances in the predator-prey model on complex networks
- Perturbing cyclic predator-prey systems: how a six-species coarsening system with non-trivial in-domain dynamics responds to sudden changes
- Dynamically generated hierarchies in games of competition
- Coevolutionary dynamics of a variant of the cyclic Lotka-Volterra model with three-agent interactions
- Spatial organization and cyclic dominance in asymmetric predator-prey spatial games
- Emergence of diversity in a model ecosystem
- Risk and interaction aversion: screening mechanisms in the Prisoner's Dilemma game
- Performance of weak species in the simplest generalization of the rock-paper-scissors model to four species
- Weak species in rock-paper-scissors models
- Equal partners do better in defensive alliances
- Stabilizing spiral structures in the asymmetric May-Leonard model
- Criticality and Griffiths phases in random games with quenched disorder