Phase transitions in dependence of apex predator decaying ratio in a cyclic dominant system
arXiv:1812.03406 · doi:10.1209/0295-5075/124/68001
Abstract
Cyclic dominant systems, like rock-paper-scissors game, are frequently used to explain biodiversity in nature, where mobility, reproduction and intransitive competition are on stage to provide the coexistence of competitors. A significantly new situation emerges if we introduce an apex predator who can superior all members of the mentioned three-species system. In the latter case the evolution may terminate into three qualitatively different destinations depending on the apex predator decaying ratio . In particular, the whole population goes extinct or all four species survive or only the original three-species system remains alive as we vary the control parameter. These solutions are separated by a discontinuous and a continuous phase transitions at critical values. Our results highlight that cyclic dominant competition can offer a stable way to survive even in a predator-prey-like system that can be maintained for large interval of critical parameter values.
arXiv commentversion to appear in EPL. 7 pages, 7 figures
References in corpus (27)
- Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
- Cyclic dominance in evolutionary games: A review
- Competition and cooperation among different punishing strategies in the spatial public goods game
- Defense mechanisms of empathetic players in the spatial ultimatum game
- Stochastic population dynamics in spatially extended predator-prey systems
- Junctions and spiral patterns in Rock-Paper-Scissors type models
- Diverging fluctuations in a spatial five-species cyclic dominance game
- Effects of competition on pattern formation in the rock-paper-scissors game
- Zealots tame oscillations in the spatial rock-paper-scissors game
- Characterization of spiraling patterns in spatial rock-paper-scissors games
- Von-Neumann's and related scaling laws in Rock-Paper-Scissors type models
- Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers
- Biodiversity in models of cyclic dominance is preserved by heterogeneity in site-specific invasion rates
- Interplay between partnership formation and competition in generalized May-Leonard games
- Interfaces with internal structures in generalized rock-paper-scissors models
- 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
- The Influence of Mobility Rate on Spiral Waves in Spatial Rock-Paper-Scissors Games
- Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
- How mutation alters the evolutionary dynamics of cooperation on networks
- Apex predator and the cyclic competition in a rock-paper-scissors game of three species
- Risk and interaction aversion: screening mechanisms in the Prisoner's Dilemma game
- Spatial organization and cyclic dominance in asymmetric predator-prey spatial games
- A Further Analysis of The Role of Heterogeneity in Coevolutionary Spatial Games
- Synchronization and extinction in cyclic games with mixed strategies
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- Pattern formations driven by cyclic interactions: a brief review of recent developments
- Predominance of the weakest species in Lotka-Volterra and May-Leonard implementations of the rock-paper-scissors model
- Strategy dependent learning activity in cyclic dominant systems
- Eco-evolutionary cyclic dominance among predators, prey, and parasites
- Invasion controlled pattern formation in a generalized multi-species predator-prey system
- Coevolutionary dynamics of a variant of the cyclic Lotka-Volterra model with three-agent interactions
- Basin entropy behavior in a cyclic model of the rock-paper-scissors type
- Performance of weak species in the simplest generalization of the rock-paper-scissors model to four species
- Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems
- Effects of a pestilent species on the stability of cyclically dominant species
- Death by starvation in May-Leonard models