Voter models with heterozygosity selection

DOI10.1214/07-AAP444zbMath1139.82029arXivmath/0701555MaRDI QIDQ2476398

Anja Sturm, Jan M. Swart

Publication date: 19 March 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701555

zbMATH Keywords

survivalannihilationcoexistencebranchingparity preservationrebellious voter modelcancellative systemsheterozygosity selectionnegative frequency dependent selection

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (8)

Commutative monoid duality ⋮ Applying monoid duality to a double contact process ⋮ Numerical analysis of the rebellious voter model ⋮ A complete convergence theorem for voter model perturbations ⋮ The effect of quenched disorder in neutral theories ⋮ The zealot voter model ⋮ Equilibrium interfaces of biased voter models ⋮ A particle system with cooperative branching and coalescence

Cites Work

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• The branching annihilating process: An interacting particle system
• Tightness of voter model interfaces
• A simple proof of the stability criterion of Gray and Griffeath
• Annihilating branching processes
• On a class of set-valued Markov processes
• Additive and cancellative interacting particle systems
• Field theory of branching and annihilating random walks
• Coexistence in threshold voter models
• An explicitly spatial version of the Lotka-Volterra model with interspecific competition
• Rescaled Lotka-Volterra models converge to super-Brownian motion
• The complete convergence theorem for coexistent threshold voter models
• A coupling of infinite particle systems
• A limit theorem for a class of interacting particle systems
• Coexistence in locally regulated competing populations and survival of branching annihilating random walk
• The critical contact process dies out
• Survival and coexistence in stochastic spatial Lotka-Volterra models
• Contact processes in several dimensions

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