Interplay between partnership formation and competition in generalized May-Leonard games

Abstract

In order to better understand the interplay of partnership and competition in population dynamics we study a family of generalized May-Leonard models with $N$ species. These models have a very rich structure, characterized by different types of space-time patterns. Interesting partnership formations emerge following the maxim that "the enemy of my enemy is my friend." In specific cases cyclic dominance within coarsening clusters yields a peculiar coarsening behavior with intriguing pattern formation. We classify the different types of dynamics through the analysis of the square of the adjacency matrix. The dependence of the population densities on emerging pattern and propagating wave fronts is elucidated through a Fourier analysis. Finally, after having identified collaborating teams, we study interface fluctuations where we initially populate different parts of the system with different teams.

27 pages, 12 figures, accepted for publication in Physical Review E

References in corpus (17)

• Evolutionary games on graphs
• Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
• Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
• Noise and Correlations in a Spatial Population Model with Cyclic Competition
• Oscillatory Dynamics in Rock-Paper-Scissors Games with Mutations
• Zero-one survival behavior of cyclically competing species
• Instability of spatial patterns and its ambiguous impact on species diversity
• Spatial Rock-Paper-Scissors Models with Inhomogeneous Reaction Rates
• 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
• Segregation process and phase transition in cyclic predator-prey models with even number of species
• Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species
• Influence of local carrying capacity restrictions on stochastic predator-prey models
• Cyclic competition of four species: mean field theory and stochastic evolution
• Stochastic evolution of four species in cyclic competition
• Three-fold way to extinction in populations of cyclically competing species
• Coexistence in a One-Dimensional Cyclic Dominance Process