Spirals and coarsening patterns in the competition of many species: a complex Ginzburg–Landau approach

Persistent coexistence of cyclically competing species in spatially extended ecosystems

(2013) Junpyo Park et al.   CHAOS

When does cyclic dominance lead to stable spiral waves?

(2013) Bartosz Szczesny et al.   EPL

A comparative study of nonequilibrium dynamics in complex and real Ginzburg-Landau equations

(2013) Saugata Patra et al.   EUROPEAN PHYSICAL JOURNAL E

Extinction in four species cyclic competition

(2013) Ben Intoy et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Labyrinthine clustering in a spatial rock-paper-scissors ecosystem

(2013) Jeppe Juul et al.   PHYSICAL REVIEW E

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

(2013) Ahmed Roman et al.   PHYSICAL REVIEW E

Global attractors and extinction dynamics of cyclically competing species

(2013) Steffen Rulands et al.   PHYSICAL REVIEW E

Diverging fluctuations in a spatial five-species cyclic dominance game

(2013) Jeromos Vukov et al.   PHYSICAL REVIEW E

Phase diagram of a cyclic predator-prey model with neutral-pair exchange

(2013) Nara C. Guisoni et al.   PHYSICAL REVIEW E

Coexistence and Survival in Conservative Lotka-Volterra Networks

(2013) Johannes Knebel et al.   PHYSICAL REVIEW LETTERS

String networks in ZN Lotka–Volterra competition models

(2013) P.P. Avelino et al.   PHYSICS LETTERS A

Spatial heterogeneity promotes coexistence of rock–paper–scissors metacommunities

(2013) Sebastian J. Schreiber et al.   THEORETICAL POPULATION BIOLOGY

Revising the Role of Species Mobility in Maintaining Biodiversity in Communities with Cyclic Competition

(2012) M. W. Adamson et al.   BULLETIN OF MATHEMATICAL BIOLOGY

On the relationship between cyclic and hierarchical three-species predator-prey systems and the two-species Lotka-Volterra model

(2012) Q. He et al.   EUROPEAN PHYSICAL JOURNAL B

Cyclic competition of four species: domains and interfaces

(2012) Ahmed Roman et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Stochastic evolution of four species in cyclic competition

(2012) C H Durney et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Self-organized spatial pattern determines biodiversity in spatial competition

(2012) John Vandermeer et al.   JOURNAL OF THEORETICAL BIOLOGY

Intransitivity and coexistence in four species cyclic games

(2012) Alessandra F. Lütz et al.   JOURNAL OF THEORETICAL BIOLOGY

Coevolutionary dynamics with clustering behaviors on cyclic competition

(2012) Linrong Dong et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A golden point rule in rock–paper–scissors–lizard–spock game

(2012) Yibin Kang et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Clonal selection prevents tragedy of the commons when neighbors compete in a rock-paper-scissors game

(2012) Jeppe Juul et al.   PHYSICAL REVIEW E

von Neummann's and related scaling laws in rock-paper-scissors-type games

(2012) P. P. Avelino et al.   PHYSICAL REVIEW E

Junctions and spiral patterns in generalized rock-paper-scissors models

(2012) P. P. Avelino et al.   PHYSICAL REVIEW E

Discriminating the effects of spatial extent and population size in cyclic competition among species

(2012) D. Lamouroux et al.   PHYSICAL REVIEW E

Extinction in neutrally stable stochastic Lotka-Volterra models

(2012) Alexander Dobrinevski et al.   PHYSICAL REVIEW E

Multi-armed spirals and multi-pairs antispirals in spatial rock–paper–scissors games

(2012) Luo-Luo Jiang et al.   PHYSICS LETTERS A

Cyclic dominance in adaptive networks

(2011) G. Demirel et al.   EUROPEAN PHYSICAL JOURNAL B

Coexistence in the two-dimensional May-Leonard model with random rates

(2011) Q. He et al.   EUROPEAN PHYSICAL JOURNAL B

Threefold way to extinction in populations of cyclically competing species

(2011) S Rulands et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Asymptotically stable equilibrium and limit cycles in the Rock–Paper–Scissors game in a population of players with complex personalities

(2011) Tadeusz Platkowski et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Pattern formation, synchronization, and outbreak of biodiversity in cyclically competing games

(2011) Wen-Xu Wang et al.   PHYSICAL REVIEW E

Saddles, arrows, and spirals: Deterministic trajectories in cyclic competition of four species

(2011) C. H. Durney et al.   PHYSICAL REVIEW E

Effects of competition on pattern formation in the rock-paper-scissors game

(2011) Luo-Luo Jiang et al.   PHYSICAL REVIEW E

Multivariate Moran Process with Lotka-Volterra Phenomenology

(2011) Andrew E. Noble et al.   PHYSICAL REVIEW LETTERS

Evolution of restraint in a structured rock-paper-scissors community

(2011) J. R. Nahum et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Oscillatory dynamics in rock–paper–scissors games with mutations

(2010) Mauro Mobilia   JOURNAL OF THEORETICAL BIOLOGY

Evolutionary game theory: Theoretical concepts and applications to microbial communities

(2010) Erwin Frey   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Basins of attraction for species extinction and coexistence in spatial rock-paper-scissors games

(2010) Hongjing Shi et al.   PHYSICAL REVIEW E

Effect of epidemic spreading on species coexistence in spatial rock-paper-scissors games

(2010) Wen-Xu Wang et al.   PHYSICAL REVIEW E

Coexistence in a one-dimensional cyclic dominance process

(2010) Anton A. Winkler et al.   PHYSICAL REVIEW E

Spatial rock-paper-scissors models with inhomogeneous reaction rates

(2010) Qian He et al.   PHYSICAL REVIEW E

Mobility and asymmetry effects in one-dimensional rock-paper-scissors games

(2010) Siddharth Venkat et al.   PHYSICAL REVIEW E

Entropy Production of Cyclic Population Dynamics

(2010) Benjamin Andrae et al.   PHYSICAL REVIEW LETTERS

Zero-One Survival Behavior of Cyclically Competing Species

(2009) Maximilian Berr et al.   PHYSICAL REVIEW LETTERS

Self-organization of mobile populations in cyclic competition

(2008) Tobias Reichenbach et al.   JOURNAL OF THEORETICAL BIOLOGY

Self-organizing patterns maintained by competing associations in a six-species predator-prey model

(2008) György Szabó et al.   PHYSICAL REVIEW E

Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species

(2008) György Szabó et al.   PHYSICAL REVIEW E

Three- and four-state rock-paper-scissors games with diffusion

(2008) Matti Peltomäki et al.   PHYSICAL REVIEW E

Instability of Spatial Patterns and Its Ambiguous Impact on Species Diversity

(2008) Tobias Reichenbach et al.   PHYSICAL REVIEW LETTERS

Cyclic Dominance and Biodiversity in Well-Mixed Populations

(2008) Jens Christian Claussen et al.   PHYSICAL REVIEW LETTERS