Phase transition in a mean-field model for sympatric speciation

V. Schwämmle; K. Luz-Burgoa; J. S. Sá Martins; S. Moss de Oliveira

doi:10.1016/j.physa.2006.01.076

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Phase transition in a mean-field model for sympatric speciation

V. Schwämmle·K. Luz-Burgoa·J. S. Sá Martins·S. Moss de Oliveira

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Abstract

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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V. Schwämmle, K. Luz-Burgoa, J. S. Sá Martins, S. Moss de Oliveira. 2005-08-15. Phase transition in a mean-field model for sympatric speciation. https://doi.org/10.1016/j.physa.2006.01.076

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