A differential equation for the asymptotic fitness distribution in the Bak–Sneppen model with five species

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A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species.

The Bak-Sneppen model is an abstract representation of a biological system that evolves according to the Darwinian principles of random mutation and selection. The species in the system are characterized by a numerical fitness value between zero and one. We show that in the case of five species the steady-state fitness distribution can be obtained as a solution to a linear differential equation...

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Asymptotic fitness distribution in the Bak-Sneppen model of biological evolution with four species

We suggest a new method to compute the asymptotic fitness distribution in the Bak–Sneppen model of biological evolution. As applications we derive the full asymptotic distribution in the four-species model, and give an explicit linear recurrence relation for a set of coefficients determining the asymptotic distribution in the five-species model.

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ژورنال

عنوان ژورنال: Mathematical Biosciences

سال: 2015

ISSN: 0025-5564

DOI: 10.1016/j.mbs.2015.06.011