Boundary dynamics of the replicator equations for neutral models of cyclic dominance

DOI10.3934/dcdsb.2020153zbMath1466.92222OpenAlexW3024979760MaRDI QIDQ2028982

Eric Foxall

Publication date: 3 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020153

zbMATH Keywords

evolutionary game theoryheteroclinic networkreplicator equationscyclic dominancerock-paper-scissors models

Mathematics Subject Classification ID

Ecology (92D40) Evolutionary games (91A22)

Related Items (1)

Fixation time of the rock-paper-scissors model: rigorous results in the well-mixed setting

Cites Work

• Clustering in the three and four color cyclic particle systems in one dimension
• Promoting cooperation in social dilemmas via simple coevolutionary rules
• Persistence in a model of three competitive populations
• Flux and fixation in cyclic particle systems
• Strong approximation theorems for density dependent Markov chains
• Oscillatory dynamics in rock-paper-scissors games with mutations
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• On the Cyclic Replicator Equation and the Dynamics of Semelparous Populations
• On $\omega $-Limits for Competition Between Three Species
• Nonlinear Aspects of Competition Between Three Species

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