Publication: Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory
Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory
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Constable, G. W. A., & McKane, A. J. (2017). Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory. Physical Review. E, 96(2), 022416. https://doi.org/10.1103/PhysRevE.96.022416
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The relationship between the M-species stochastic Lotka-Volterra competition (SLVC) model and the M-allele Moran model of population genetics is explored via timescale separation arguments. When selection for species is weak and the population size is large but finite, precise conditions are determined for the stochastic dynamics of the SLVC model to be mappable to the neutral Moran model, the Moran model with frequency-independent selection, and the Moran model with frequency-dependent selection (equivalently a game-theoretic formula
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- Constable, George W A
- McKane, Alan J
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Constable, G. W. A., & McKane, A. J. (2017). Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory. Physical Review. E, 96(2), 022416. https://doi.org/10.1103/PhysRevE.96.022416
