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arXiv · 1110.4444

A Multivariate Moran Process with Lotka-Volterra Phenomenology

Andrew E. Noble·Alan Hastings·William F. Fagan
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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.

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Andrew E. Noble, Alan Hastings, William F. Fagan. 2011-10-20. A Multivariate Moran Process with Lotka-Volterra Phenomenology. https://doi.org/10.1103/physrevlett.107.228101

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