Asymptotic Fitness Distribution in the Bak–Sneppen Model of Biological Evolution with Four Species
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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.
KeywordsBak–Sneppen model Biological evolution Linear recurrence equation Markov chain Stationary distribution
I thank two anonymous referees for carefully reading the manuscript and making helpful suggestions to improve its presentation. I also thank them for pointing out the applicability of our method to the anisotropic Bak–Sneppen model.
- 4.Gillet, A.J.: Ph.D. thesis. Vrije Universiteit, Amsterdam (2007) Google Scholar