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math.PR2005★ 1 cited
A microscopic interpretation for adaptive dynamics trait substitution sequence models
Nicolas Champagnat
We consider an interacting particle Markov process for Darwinian evolution in an asexual population with non-constant population size, involving a linear birth rate, a density-depe…
math.PR2005
Individual-based probabilistic models of adaptive evolution and various scaling approximations
Nicolas Champagnat, Régis Ferrière, Sylvie Méléard
We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are roote…