Phase transition in a mean-field model for sympatric speciation

Details Phase transition in a mean-field model for sympatric speciation Phase transition in a mean-field model for sympatric speciation

2005-08-15

arxiv.org/abs/q-bio/0508016v1

Biology

Quantitative Biology

Populations and Evolution

accepted for Physica A

Scientific paper

We introduce an analytical model for population dynamics with intra-specific competition, mutation and assortative mating as basic ingredients. The set of equations that describes the time evolution of population size in a mean-field approximation may be decoupled. We find a phase transition leading to sympatric speciation as a parameter that quantifies competition strength is varied. This transition, previously found in a computational model, occurs to be of first order.

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