Multivariate Moran Process with Lotka-Volterra Phenomenology
Phys. Rev. Lett. 107, 228101 – Published 21 November, 2011Erratum Phys. Rev. Lett. 107, 239904 (2011)
DOI: https://doi.org/10.1103/PhysRevLett.107.228101
Abstract
For a population with any given number of types, we construct a new multivariate Moran process with frequency-dependent selection and establish, analytically, a correspondence to equilibrium Lotka-Volterra phenomenology. This correspondence, on the one hand, allows us to infer the phenomenology of our Moran process based on much simpler Lokta-Volterra phenomenology and, on the other, allows us to study Lotka-Volterra dynamics within the finite populations of a Moran process. Applications to community ecology, population genetics, and evolutionary game theory are discussed.
Corrections
23 November, 2011
Erratum
Publisher’s Note: Multivariate Moran Process with Lotka-Volterra Phenomenology [Phys. Rev. Lett. 107, 228101 (2011)]
Phys. Rev. Lett. 107, 239904 (2011)