A simple mathematical model of gradual Darwinian evolution

Details A simple mathematical model of gradual Darwinian evolution A simple mathematical model of gradual Darwinian evolution

2011-02-01

arxiv.org/abs/1102.0272v3

Biology

Quantitative Biology

Populations and Evolution

16 pages, 2 figures, as submitted to J Math Biol 2011/10/24

Scientific paper

We consider a simple mathematical model of gradual Darwinian evolution in continuous time and continuous trait space, due to intraspecific competition for common resource in an asexually reproducing population in constant environment, while far from evolutionary stable equilibrium. The model admits exact analytical solution. In particular, Gaussian distribution of the trait emerges from generic initial conditions.

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